The Daily Mail says Burnley are making a move for the midfielder.
Speaking about Santamaria last month, Angers manager Stephane Moulin admitted he expected to lose his key man.
"We are in the process of preparing for the future without him, but we hope it will be with him," he told RMC Sport.
"It is very clear, Baptiste did an additional season last year with us. We said that if an offer comes in of the value that we are expecting and he likes it, he will be the next on the list of players to leave us.
"There is maybe a large chance (of that happening), but we have not received an offer."