The 54-year-old actor, who was earlier married to actress Kim Basinger, has reportedly brought up the possibility for the second wedding after he is done filming his Cannes documentary with director James Toback, reported Ace Showbiz.
"There's speculation they're going to get married. He has set time for possible nuptials into post-Cannes work plans in Europe," a source said.
Baldwin met Thomas in early 2011 while dining with friends at Pure Food and Wine. The "It's Complicated" actor was said to have proposed to the 28-year-old during a trip to the East End of Long Island.