The Spain striker insisted that he will not be pushed out of the club and only wants to return to Atletico Madrid if he leaves Stamford Bridge.
Chelsea had been offered £76million for Costa by Chinese Super league club Tianjin Quanjin – but that move now looks unlikely after new tax rules were introduced in that country.
But Conte would offer no guarantees on Costa’s future, only saying: “It’s important for me to take two or three days to rest and then speak about the future for my players.”
Costa, however, appeared to dig his heels in, saying: “I will only leave Chelsea for Atletico. If not, I will stay. I’m not interested in other clubs.
Antonio Conte doesn't want to talk about the future of his players yet
Diego Costa said he would only leave Chelsea for Atletico Madrid
It’s important for me to take two or three days to rest and then speak about the future for my players
“I know Chelsea want to sell players, but I told them, I have two years left on my contract and I won’t go somewhere else just because they want so.
“I have a contract and no intention of leaving, but if the coach won’t count on me anymore or is to give space for another striker, I know I’ll have to leave. But only to where I’m willing to.”
Conte also risked ridicule when he claimed that Victor Moses might have been “tired” when he was sent off for diving against Arsenal on Saturday.
Moses, who got married yesterday, was given his second yellow card in the 68th minute by referee Anthony Taylor for blatantly going over when there was no contact with Gunners defender Alex Oxlade-Chamberlain.
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Conte, whose Chelsea side claimed the title after not being involved in European competition and played far fewer games than most of their rivals, said: “Sometimes I think it could be tiredness. I don’t think if my player dived he did it with real intention.
"Moses is an honest player and if there was this situation he was tired and he didn’t want to cheat the referee.”