Reuters reports Romney is deciding between Ohio Senator Rob Portman, former Minnesota Governor Tim Pawlenty and Louisiana Governor Bobby Jindal.
Many Republicans in Washington believe Romney will ultimately choose Portman, who has foreign-policy experience that Romney lacks based on his service as U.S. trade representative for Republican President George W. Bush and his current tenure on the Senate Armed Services Committee.
But there is also a strong sense that Pawlenty could emerge as the No. 2. The conservative from Minnesota ran for the 2012 Republican presidential nomination and was the first major contender to give up, after a dismal performance at the Iowa straw poll last August.
In the months since pulling out of the race, Pawlenty has been a strong surrogate for the Romney campaign and is well-liked by the candidate and his staff.
Then there is Jindal, an Indian-American who met with Romney in Baton Rouge, Louisiana, on Monday before they appeared jointly at a fundraiser. Aides said the two men did not discuss the vice presidency.