The 23-year-old, who joined the Reds in 2013 from Sevilla, has been aligned with a switch back to the La Liga club of late, but the move is understood to have collapsed with his £6m valuation a problem.
However, that price-tag has not deterred other parties, with reports claiming Midlands duo Villa and Wolves, as well as QPR, are keen on him.
Alberto has spent the last two seasons away from Anfield on loan, and although his time in Malaga was forgettable, he notched an impressive six goals and seven assists for Deportivo La Coruna in 2015/16, prompting recent speculation Jurgen Klopp may give him another chance on Merseyside.
Liverpool want £6m, including add-ons, for their player, even though his last appearance for the club came way back in January 2014.
Both Villa and Wolves boast the financial clout to pursue the playmaker.