Chelsea striker Fernando Torres is understood to be set for a return to Atletico Madrid, according to Sky sources.
Mark Hughes insists Stoke will not be looking to make any major additions in the January transfer window.
The Uruguay international joined the Premier League club in a £12million deal from Bologna last summer and netted five goals in 26 top-flight appearances.
Previously, there was speculation that Fiorentina and AC Milan were monitoring the playmaker's situation, but new potential suitors have emerged - who can offer UEFA Champions League football next term.
Agent Pablo Betancourt told South American radio station Radio Mana Sport: "[Gaston] is currently followed by Borussia Dortmund and Atletico Madrid. At the moment, it is very difficult for him to come back to Italy."
The speculation comes as Ramirez is currently in action with Uruguay in the Confederations Cup, where they are due to take on Brazil in Wednesday's semi-final.