Wigan have reportedly made a move for the Chelsea striker, but Villa could still land him this summer.
Villa are said to have been 'making overtures' for Bamford in recent weeks, with the 22-year-old looking to establish himself after four seasons out on loan.
Wigan also appear keen to land him, however, and have made an offer of £3 million, according to the Daily Mail.
Despite this, the report adds the Latics are likely to fail in their attempt to lure the England Under-21 international to the DW Stadium.
Gary Caldwell's side are down to just two senior strikers, Craig Davies and Will Grigg, with Sanmi Odelusi and Billy McKay both loaned out to League One clubs.
Villa have already added to their attacking pool this summer, with Ross McCormack arriving from Fulham in a reported £12 million deal.
However, Roberto Di Matteo's side could yet make further additions in that department, especially if another frontman Jordan Ayew is sold.
The Ghanaian has been linked with a move away from Villa Park, though new owner Tony Xia insists he will not be allowed to leave.