At the unexpected meeting, Tlaib went up to Rep. Liz Cheney, the 3rd Republican in the House, and the GOP Rep. Lee Zeldin in New York during a poll series.
Tlaib, a Michigan Democrats, shook his hands and then engaged in a conversation for more than five minutes, when the trio stood in the middle of the chamber with members moving around them. While their discussion could not be heard, the meeting could be seen by reporters looking at the floor and it was downloaded on a video source.
Tlaib spoke to CNN shortly after the floor talk and did not discuss the details of their private discussion but added: "I'm just trying to build bridges."
Zeldin told CNN that it was a "sincere" conversation where Cheney and Tlaib were "sharing their thoughts back and forth from the past few days".
"I think most fourth graders know what the Holocaust was, and it doesn't," Cheney said on Tuesday at Fox News.
And earlier on Wednesday, Cheney and Zeldin Tlaib's latest comments at a press conference claimed they were prepared to take a procedural step that would strive to fight the movement against boycott, divestment and sanctions.
"We have seen an increase in anti-Semitic violence globally in recent years and we are now seeing a rise in congressional halls in some kind of vitriolic and humble anti-Semitism" Cheney said at the event.
Meanwhile, the democratic leaders have defended Tlaib and pushed back against GOP leaders, including President Donald Trump, claiming that the Republicans are taking Tlaib out of context.
A spokesman for Cheney described the floor talk on Wednesday with Tlaib as a "frank exchange of views" and added that "Congresswoman Cheney's views have not changed."
Zeldin said he did not think "something was loose" but noted "the dialogue is always good, especially when it is open."
"I am glad that the conversation took place in the middle of the house floor as opposed to a room where it could be spun in some other way, because a sincere conversation took place ̵
"It's kind of soothing feeling I always tell people when I think of the Holocaust and the tragedy of the Holocaust and the fact that it was my ancestors, Palestinians, who lost their country and some lost their lives, their livelihood, their human dignity, their existence in many ways have been obliterated, and some people's passports, "Tlaib said.
She continued: "I just mean it was to try to create a sanctuary for Jews, after the Holocaust, after that tragedy and the terrible persecution of Jews all over the world at that time, and I love the fact that it was my ancestors who gave it right in many ways. a way that took its human dignity away, and it was forced upon them, and so when I think of a one-time, I remember the fact that why couldn't we do it better? "
Critics described her comments as anti-Semitic and historically incorrect. Tlaib seems to make historical claims of Palestinians that provide a "safe haven" for Jews fleeing Europe before the establishment of the modern state of Israel, despite the profound opposition at that time to Jewish settlement there and the ongoing conflict between Israel and the Palestinians.
Trump tweeted that her comments were "horrible and very insensitive" and showed a "huge hatred for Israel and the Jewish people".
Cheney issued a statement on Sunday saying that Tlaib's comments were "sick" and urged democratic leaders to "take action" against her.
Tlaib defended her comments on Sunday and her spokesman said that Cheney "would be ashamed of using the Holocaust in the Holocaust in an open attempt to score politically."
Tlaib also defended his comments during an appearance Monday night at NBC's "Late Night" Lord Seth Meyers.
"You know the tragedy of the Holocaust – I mean the reason why Israel was created was to create a haven for Jews around the world and there is something, in many ways, beautiful about my ancestors – many had died or were forced to to give up their livelihood, their human dignity to provide a safe haven for Jews in our world, "she said. "And that was something I wanted to admit and kind of honor in some way."