The Atletico Madrid striker scored a penalty in a 3-1 Champions League semifinal win over Chelsea, but refused to confirm whether he would be moving to the Premier League side
Costa was on target from the penalty spot as Diego Simeone's side won 3-1 at Stamford Bridge to set up a final in Lisbon next month against Real Madrid.
Goal understands Chelsea is close to sealing a 35 million pound deal for the 25-year-old, and Costa admits that a move to London could be in his future.
"Chelsea in my future? We'll see, I know there are offers for me," he told Sky Italy. "I feel well here at Atlético. Let's see."
Adrian Lopez and Arda Turan were also on the scoresheet for the visitors, who recovered from going a goal down to Fernando Torres, to ease to a comfortable victory.
Costa hailed his side's victory and praised coach Diego Simeone for his part in Atletico's superb season.
"This is something amazing and historic. We have done everything we can to be in this final," he told Canal Plus. "Diego Simeone has succeeded in making the best decisions in every moment."