The appearance as well as the private meetings the two had throughout the day on Tuesday fueled speculation that Corker was in the running to be Trump's vice-president pick, but on Wednesday, the Senator took himself out of the running, saying that he would not fit the role needed for a vice-presidential candidate.
Celebrating new success in fundraising, Donald Trump says he took in $51 million for his campaign and allied Republicans in recent weeks, a huge jump from his previously lackluster figures though still well shy of Hillary Clinton's money machine.
Asked whether Trump offered him a position in his Cabinet, Corker, who noted they had a "wide-ranging conversation", said the campaign wasn't there yet. "And I think that President Trump will need some great assistance in the United States Senate and I can provide that".
More traditional picks - US Senators Rob Portman of OH and Marco Rubio of Florida - long ago said they have no interest.
Corker's dealings with Trump, who called Corker "a great friend of mine, somebody respected by everybody", obviously made a strong impression and have given him influence in Trump's sphere, said Larry Sabato, director of the University of Virginia's Center for Politics.
"I shared from the very beginning, in my very first meeting, I just viewed myself as much better suited to do other kinds of things", Corker said. And while other Republicans say they are not interested in attending or even speaking at the Republican National Convention where Trump expects to be nominated later this month. The network also said New Jersey Gov. Chris Christie and Indiana Gov. Mike Pence remain possible choices as well.
Many think Corker might be considered for positions like Secretary of State or Treasury Secretary. Joni Ernst (R-Iowa) said thanks, but no thanks to Trump.
Pence only has ten days to make the decision to continue in the race for governor, or join Donald Trump as the vice presidential candidate.
"At the same time", Corker added, "if.at some point serving in an administration was something that became an opportunity - there's just better ways for someone like me to serve than being a candidate for vice president".
"Sen. Bob Corker gave up his shot at becoming vice president, but he could still have a future at Donald Trump's side".
CNN has reported that Ivanka Trump, 34, has played a pivotal role in convincing her father to fire campaign manager Corey Lewandowski.