Adrian admits he wasn't short of offers ahead of signing a new deal with Liverpool.
The goalkeeper penned a new one-year deal this week.
He told Canal Sur Radio's El Pelotazo: “We will stay here for a couple of more seasons for the moment.
“It's a very beneficial agreement, I'm happy; it's shown the level at which the club is. And although last year was not what we expected, we have been as high as possible.
“It was time to make a decision, and with what was on the table, I decided to continue at Liverpool.
“There has been interest from several Spanish clubs, but it's something that stays there.
“I would like to go home after so many years away, I've been in the Premier League for eight seasons, but I'm 34 years old, I'm very well physically, and I'll keep it that way."