There was an encouraging sign that Costa may be listening to the advice late on Friday night, as he posted a picture on Instagram with the message 'Come on Chelsea'.
The message was instantly 'liked' by Chelsea captain John Terry and Cesc Fabregas, two of the men who have been working hard to try to make Costa see sense.
Chelsea hope the situation can still be resolved and Costa is likely to hold talks with Conte early next week, with owner Roman Abramovich adamant the 28-year-old will not be sold this month.
Costa received an offer worth £30million-a-year net at the start of this month from a Chinese club, thought to Tianjin Quanjian, that would make him one of the highest-paid players in the world.
Chelsea believe that offer was the trigger for his bust up, with more detail emerging over what happened.
Costa is understood to have become involved in a row with a Chelsea fitness coach in training on Tuesday with Conte backing his staff. The situation then became worse on Wednesday as Conte furiously shouted 'go to China' at the end of another heated exchange.
Conte made Costa train on his own, later than the rest of the squad, for Wednesday, Thursday and Friday which explains why the Spain international posted an Instagram video of himself walking around a deserted Cobham in the dark with snow on the ground.
Costa has scored 14 Premier League goals this season and his team-mates believe he is vital to Chelsea's bid to hold on to their lead at the top of the table.