Andrea Belotti is still being targetted and poised to replace the self-exiled striker that has been ordered back to England from his native Brazil.
And Starsport can reveal the champions have not given up on landing Torino ace Belotti.
The Blues have already bought Alvaro Morata from Real Madrid for £70m.
But boss Antonio Conte remains unconvinced by Michy Batshuayi
And with Costa set to stay away with his family in Brazil, Conte feels the club need to boost their strikeforce.
Belotti, 23, banged in 26 goals in 35 Serie A games last season and the champions have been constantly linked with the Italy international all summer.
He has earned comparisons to Chelsea legend Gianluca Vialli for his athleticism and powerful style of play, but Torino have been holding out for £80m for the prized asset.
And with Chelsea starting the season so poorly – losing 3-2 at home to Burnley on Saturday a deal could still be struck.
Conte wants a number of reinforcements in this window, with Southampton centre back Virgil van Dijk, Arsenal’s Alex Oxlade-Chamberlain and Danny Drinkwater of Leicester key targets.
Chelsea are also keen on Paris St-Germain right-back Serge Aurier, who is available for £27m, but Tottenham have now joined Manchester United in the hunt.
Despite demanding Costa, who has insisted he only wants to play for Atletico Madrid, returns to training Chelsea are prepared for a stalemate with the Spain striker.
Carlos Tevez spent three months away in Argentina on unauthorised leave from Manchester City back in 2011 and the club continued to fine him for his absence.
Chelsea are understood to plan the same tactic with Costa, fining him his wages for two weeks – £280,000 – every fortnight.
Meanwhile, Eden Hazard returned to full training yesterday having missed most of pre-season with a broken ankle.
He was joined by new midfield signing Tiemoue Bakayoko, who is back after undergoing minor knee surgery in the summer.
But both players are not expected to be fit enough to feature at Tottenham on Sunday
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