The 26-year-old was in talks with a number of clubs in January, including Cardiff, before Hamburg pulled the plug on any exit.
But after helping Hamburg avoid relegation, Rincon is now set to leave the club.
With his contract expiring at the Imtech Arena, the South American is set to depart on a Bosman free transfer and Sky Sports understands that a host of Premier League clubs are poised to make an offer, although there is also interest in La Liga.
Rincon's British agent John Sorzano confirmed the interest has remained strong in his client, who has played over 100 Bundesliga games since joining Hamburg in 2009.
"Tomas has loved his time in Germany, but as with many South Americans, he really wants to play in England," Sorzano told Sky Sports.
"We have held talks with a number of clubs in England and we hope he will be playing in the Premier League next season.
"However, there is also strong interest from other countries but particularly Spain."