Griezmann has been in link with several Premier League sides including Manchester United and Chelsea for the past few months but the Frenchman ended the links as he penned a new contract which will keep him until 2021.
The France international forward is currently helping his country in the Euro 2016.
Griezmann has been exceptional for the Spanish side, he has been the top scorer for the club in both of the last two seasons, further his goals have helped Atletico to finish at the third spot in the consecutive seasons.
While on the other hand, Atletico who have been keeping tabs on Napoli striker Gonzalo Higuain have now stepped back from his pursuit after successfully sealing Griezmann new deal.
Liverpool have been in the race to sign the Argentinean who is currently in USA for the Copa America.
Columnist: Stevan Jones,is a Premier League fan, watches every big game and writes transfer news of every top club. See all his articles