The Sun says Villa wants a £14million summer move to Arsenal.
Barcelona insiders say the striker, 31, has set his heart on a switch to the Gunners after deciding to quit the Nou Camp.
Boss Arsene Wenger failed in a bid to land Villa last month.
But the Spanish star will have just a year left on his contract and Arsenal are likely to get him for less than the £16m demanded in January.
After a long-term injury last season, Villa has failed to command a first-team place at Barca this term.