This is according to The Daily Star, who claim that the La Liga outfit have indeed already offered Reina a three-year contract as they look to put a plan in place that will limit the impact of Courtois' likely return to Chelsea this summer.
It is also claimed that Reina's wages could prove a stumbling block in such a pursuit, but that the player himself - who is currently on a season-long loan with a Napoli side managed by Rafael Benitez - would favour a return to his native Spain for family reasons.
31-year-old Reina originally signed for Liverpool from Villarreal back in 2005 and became a valued member of the first-team setup at Anfield over the next eight years.
However, doubts immediately appeared to surface over his future under Brendan Rodgers following the arrival of Simon Mignolet last summer and Reina - who reportedly has a clause in his current Liverpool deal that will allow him to leave for the sum of £4.1 million this summer - was quickly shipped out on loan to Serie A.
The Spanish international has made 26 appearances for Napoli so far this season, keeping eight clean sheets in the process.
With Belgian 'stopper Courtois widely expected to return to Chelsea this summer in order to battle with Petr Cech for the number one spot at Stamford Bridge, Atletico's interest in securing a new goalkeeper certainly seems like a sensible and wholly logical move.
While Diego Simeone - who has guided Los Rojiblancos to the top of La Liga as well as into the semi-finals of the Champions League this year - does not yet know for sure that he will definitely be without the services of a fine young talent who has been on loan at the Vicente Calderon for almost three years now, it seems incredibly unlikely that Jose Mourinho will allow Courtois to leave Chelsea without first giving him an opportunity to transfer his stellar form to the Premier League.