West Ham's Adrian celebrates
The report claims Malaga have been following Adrian for some time and intend to make adding another goalkeeper to the squad their first priority this summer.
Adrian is disillusioned in East London after losing his number one spot for most of the season to Darren Randolph and with it his newly acquired place in the Spain squad.
He was recently restored to the West Ham starting XI by Slaven Bilic but Malaga feel he is not as 'untouchable' as he was a year ago and he is top of their shortlist given that he ticks coach Michel's box of having LaLiga experience with Real Betis.
Adrian's contract is up this summer but he has until the end of May to pen a new two-year deal with the club, otherwise he would be available on a free transfer.
Adrian has been out of the team for much of the season
Marca also claims his old club Real Betis and Deportivo are also keen on the 30-year-old with the Adrian having previously admitted it is harder to get in the Spain squad when playing outside the country.
The England No 1 is currently on loan at Serie A side Torino after being shipped out by Manchester City boss Pep Guardiola.
Joe Hart in action for Torino
Hart admitted in December that he sees his long-term future away from the Etihad and there is expected to be a scramble for his permanent signature once his season-long loan in Italy is over with City's rivals Manchester United now said to be interested should David De Gea leave.
So the Hammers must get their house in order or they could be left with Randolph as number one after the Republic of Ireland stopper proved he was not quite up to the task this season.