President Trump continued to insist on Monday that the tariff-averting border deal he reached with Mexico on Friday is more robust than critics and news reports suggest, tweeting: "We have fully signed and documented another very important part of the Immigration and security deal with Mexico, one that the U.S. has been asking about getting for many years. It will be revealed in the not too distant future and will need a vote by Mexico's legislative body!"

In a news conference in Mexico City on Monday, Mexican Foreign Minister Marcelo Ebrard said Mexico had not agreed to any secret immigration deal, also denying an earlier tweet in which Trump said Mexico had agreed to buy more U.S. agricultural goods.

Instead, Ebrard said, Mexico agreed that if the flow of migrants to the U.S. did not drop significantly in coming months, both sides would meet again to discuss more aggressive changes to regional asylum rules. "Let's have a deadline to see if what we have works, and if not, then we will sit down and look at the measures you propose and those that we propose," he said. U.S. officials tell The New York Times that Trump's tweet appeared to refer to an agreement in the published deal to revisit the migration situation with Mexico in 45 and 90 days.

In last week's negotiations, the U.S. team had pressed Mexico to enact a "safe third country" system in which migrants fleeing Central America would have to apply for asylum in Mexico, and the U.S. could turn away those who didn't. Mexico refused. "There appeared to be a significant disagreement on Monday between the Mexican government and American officials about what the negotiators actually agreed to regarding further action and the possibility of implementing a 'safe third country' arrangement," the Times reports. U.S. officials said Mexico all but agreed to a regional system that would mimic a "safe third country" law, while Ebrard said the deal effectively put off that discussion. Peter Weber

That's one down.

The Senate stuck to party lines Tuesday as President Trump's impeachment trial got under way. Senate Minority Leader Chuck Schumer (D-N.Y.) introduced an amendment to the rules dictating the impeachment proceedings which called for the Senate to subpoena White House documents related to the events. Senate Majority Leader Mitch McConnell (R-Ky.) then responded with a motion to table the proposal.

There wasn't much drama after that. The motion to table passed 53-47, as every member of the upper chamber stuck with their side, including a few GOP lawmakers like Sens. Susan Collins (R-Maine), Lisa Murkowski (R-Alaska), and Mitt Romney (R-Utah), who are generally considered the biggest threats to cross the aisle. Collins, for her part, issued a statement shortly after the vote indicating her decision had more to do with the timing of Schumer's proposal than her opposition to bringing in new evidence.

After the defeat, Schumer introduced a second amendment, this time calling for documents from the State Department. Tim O'Donnell

Harvey Weinstein's defense will aim to discredit his accusers by citing alleged "loving emails," which a judge has just ruled can be referenced during his rape trial.

Attorney Damon Cheronis claimed in court Tuesday that Weinstein's defense team has "dozens and dozens and dozens of loving emails" from witnesses to Weinstein that it wants to use during the trial, The Associated Press reports. The defense claims that in these emails, women "describe being in loving relationships" with Weinstein or "describe him as someone they cared about both before and after these alleged sexual assaults," Bloomberg reports.

"We will counter with their own words," Cheronis said, also alleging that "witnesses who claim sexual assault with him also bragged about being involved in sexual relations with him," Deadline reports.

Judge James Burke said Tuesday the defense is permitted to reference what was allegedly said in these emails, although they aren't allowed to actually show them, NBC News reports. Assistant District Attorney Joan Illuzzi blasted the defense's characterization of the emails as "blatantly inaccurate," per Bloomberg.

Weinstein, who has been accused of sexual misconduct by more than 80 women, is facing charges of rape and sexual assault, to which he has pleaded not guilty.

Although Weinstein's defense on Tuesday won the right to reference these emails, it lost another bid to move his trial out of New York City; Assistant District Attorney Harriett Galvin called this a "transparent attempt to delay the proceedings," per AP. After a jury of seven men and five women was selected last week, opening arguments in the Weinstein trial are set to begin Wednesday. Brendan Morrow

Anything you say can and will be held against you.

Sen. Lindsey Graham (R-S.C.) got a little taste of that Tuesday when Jaime Harrison, who is running to challenge Graham's Senate seat, launched a new campaign ad. In the video, the Democratic candidate begins reading a statement, as Graham's voice creeps into the scene. Viewers are then transported back in time to 1998 as Graham, then a member of the House, advocates for a thorough impeachment case against then-President Bill Clinton in which "everybody had a chance to have their say."

Graham hasn't exactly maintained that position in the present day — he wants President Trump's trial over and done, and isn't one of the Republicans who's on board with calling witnesses. But despite Graham's staunch anti-impeachment stance, Harrison seems to think it's worth reminding the senator of the good old days. Tim O'Donnell

Jay Sekulow apparently missed a few memos from the Trump administration.

Sekulow, who is serving as President Trump's outside lawyer in the Senate's impeachment trial, argued Tuesday that disputes between the White House and Congress are "why we have courts." But as the Department of Justice has repeatedly argued, including as recently as last month, that's not what this administration believes.

Arguments began Tuesday in the impeachment trial of Trump, during which House impeachment managers and Trump's defense team debated Republican-back rules for the trial. That's when Sekulow took shots at House Democrats who brought the charges against Trump, saying they should've let the courts rule on their subpoenas for documents and testimony from Trump administration officials before moving forward with impeachment. If they took issue with Trump claiming executive privilege to block those subpoenas, well, "it is why we have courts," Sekulow said.

Yet in December court filing regarding a House lawsuit against former White House Counsel Don McGahn, the Trump administration argued the opposite is true. Asking the court to "weigh in" on the subpoena "when political tensions are at their highest levels" reveals "why this sort of interbranch dispute is not one that has 'traditionally thought to be capable of resolution through the judicial process,'" the DOJ wrote.

Sekulow also alleged the Mueller report cleared Trump of collusion, which isn't a crime and not something former Special Counsel Robert Mueller even investigated. And as for Sekulow's claim that House Republicans weren't allowed into closed-door impeachment hearings, well, 48 of them were. Kathryn Krawczyk

The Senate's impeachment trial of President Trump is underway, but it's already received a last-minute rule change.

Senate Majority Leader Mitch McConnell (R-Ky.) on Monday unveiled the proposed impeachment trial rules, under which each side would have 24 hours over two days for opening arguments. This proposal quickly drew criticism from Democrats, as it could see sessions stretching past midnight, beyond the point where most people would be able to watch.

But this rule was modified Tuesday with a proposal under which opening arguments for each side would still last 24 hours, but over three days rather than two, NBC News reports. This would allow Senate sessions to wrap up around 9 p.m. ET, and could extend the length of the trial by two days, Politico notes. CNN's Kevin Liptak reports this change apparently came together quite quickly, as the resolution received a handwritten update.

Although Democrats were critical of the rules, CNN reports the changes were actually "the result of concerns from moderate Republicans." A spokesperson for Sen. Susan Collins (R-Maine) confirmed to NBC News that she was among these Republicans who complained, saying, "She thinks these changes are a significant improvement." Another rule change allows for evidence to be submitted automatically unless there are objections.

CNN's Kaitlan Collins further reports that the White House pushed for the two-day timetable, as "officials were concerned they may not get to make their full arguments this week with the 3-day period." These White House officials, Collins reports, "think it's better if all their arguments are made consecutively, instead of possibly being broken up and stretching into next week." Besides, as CBS News' Kathryn Watson noted, "Most senators want to sit silently for 12 hours without moving/eating/looking at their phones as much as anyone else." Brendan Morrow

The fact checkers came out quickly in response to White House Counsel Pat Cipollone on Tuesday.

In his opening remarks at President Trump's Senate impeachment trial, Cipollone argued that Trump faced unprecedented violations of due process while the House was conducting its impeachment inquiry last year. He said House Democrats were running the investigation from a "basement" and accused House Intelligence Committee Chair Adam Schiff (D-Calif.) of blocking his Republicans colleagues from entering the Sensitive Compartmented Information Facility.

As it turns out, GOP lawmakers on the House Intelligence, Foreign Affairs, and Oversight Committees were indeed welcome to join those proceedings, and while many of them chose not to attend, several participated. Tim O'Donnell