The 31-year-old, who is under contract with the Reds until 2016, has been touted as a possible replacement for long-serving Barca goalkeeper Victor Valdes, who could leave the Spanish club this summer.
Reina, who came up through the youth ranks at the Nou Camp before joining Villarreal over a decade ago, told Cadena Ser: "I have three more years with Liverpool. I'm satisfied, comfortable and my family are very happy.
"Rumours are difficult to control but it's flattering when a club like Barca are interested in you.
"I don't know if there has been contact between the clubs or with my agent. At the moment I don't think there's anything serious."
The Spain international hopes to finish his career back in his homeland, but he added: "I don't know how long I've got left in football, what I do know is I want to enjoy what remains and feel appreciated and at Liverpool I have that."
Reina, son of former Barca goalkeeper Miguel Reina, played several first-team matches while still a teenager at Barca but left the club in 2002 without winning any major silverware.
"The years I was in Barcelona were very good. I don't have any bad feelings about not succeeding there. I played more than 50 games, when I was less than 20, it helped me grow a lot," he said.
"I would've liked to have played there more, of course, but there's no need to over-dramatise things."