Trump campaign chairman Paul Manafort was also in attendance.
Jason Miller, Trump's senior communications adviser, likewise tamped down the speculation by saying that "a decision has not been made by Mr. Trump".
Despite all signs pointing to Pence as Trump's VP pick, Gingrich appeared to give a last-minute pitch for the job in a Facebook Live video on Thursday afternoon.
Donald Trump has picked Mike Pence to be his vice-presidential candidate, the Guardian has learned.
Pence, 57, would have to withdraw his re-election bid as IN governor to join the ticket. "And I think he's going to make a great president of the United States".
Pence was said to be the top choice of Trump's children, who have played an active role in his campaign.
By picking Pence, Trump could shore up support from the social conservatives that make up much of the base of the Republican party. When it became apparent the candidate would not be able to leave on his jet and would have to spend the night at a hotel, he instead let the campaign come to him.
State Rep. Sue Errington, a Democrat, said Thursday she was out of the country but has been following developments.
Pence is best known nationally for signing the Religious Freedom Restoration Act, or RFRA, which opponents said opened the door for legal discrimination against gays. Even without Pence, Trump has been closing the gap.
He did, however, propose an immigration compromise in 2006 that would have created a guest worker program.
Pence, a first-term governor who previously served six terms in Congress, spent most of Tuesday with Trump. Ted Cruz in the Indiana Republican primary this year.
Donald Trump's campaign and party leaders seem poised to defeat GOP renegades trying to derail the billionaire's presidential nomination.
The choice many have been waiting for has apparently been made. "He is someone who has connected with everyday Americans like no one since Ronald Reagan".
Mr Trump had also considered former House of Representatives Speaker Newt Gingrich and New Jersey Governor Chris Christie as finalists.
He says it's no secret he's a big fan of Pence's and holds him in very high regard. The New York Time ssaid Trump's campaign has signaled strongly to Washington Republicans that he will choose Pence but that party members say Trump could still change his mind.
The presumptive Republican presidential nominee is to announce his choice on Friday morning (local time) in Manhattan.