Costa has been linked with a return to Atleti in recent weeks. He has been yearning for a move to his previous club Atletico Madrid.
The Blues' top scorer will be unable to play until January as Atletico are now under a transfer embargo.
So far this transfer window, the Blues have already lost out to Manchester United in the race to sign Belgium striker Romelu Lukaku from Everton, even though Chelsea matched Manchester Utd's £75 million bid.
And yesterday Chelsea confirmed the signing of Monaco powerhouse Tiemoue Bakayoko. However, it is likely that the Belgian youngster will again be used as backup and a more household name will be brought to Stamford Bridge.
Greenlaw Named To Butkus Award Watch List
University of SC senior Skai Moore was named Monday to the Butkus Award Watch List , which honors the nation's best linebacker. The ACC leads the conferences with 10 players, followed by the SEC with eight players, and the Big Ten with five players.
Civilian deaths increase in Afghanistan
The blast, for which no one has yet claimed responsibility, killed at least 92 civilians and injured almost 500 others. The report commends Afghan security forces for their continued efforts to reduce civilian casualties.
Tamil Nadu: O Paneerselvam's camp backs Kamal Haasan
In fact, he was one of the few actors who spoke about the mismanagement during the 2015 rains which nearly sank Chennai . Now Nanjil Sampath, a member of the AIADMK party has also joined the chorus of support for Kamal Haasan.