The young striker scored 26 goals in 40 games for Dean Smith’s side during his loan spell with the club during their 2018-19 campaign in the Championship.
Villa then inquired about signing him permanently when they were promoted back to the Premier League, but Chelsea were not willing to sell.
Now though, circumstances seem to have changed as Thomas Tuchel has chosen instead to pick the likes of Timo Werner and Christian Pulisic to lead the line.
Abraham, 23, who is under contract with the London club until 2023, had netted 11 goals this season under Frank Lampard before his reign as boss came to an end early in 2021.
The England striker would also provide striker Ollie Watkins with some much-needed competition for places within the Villa squad.
Smith’s side have been going through a dreadful run of form since talisman Jack Grealish suffered a shinbone injury.
The Midlands club have managed just two Premier League wins in their last ten games, dropping from eighth place into the bottom half of the table.