There have been reports filtering out of Italy through the summer about the manager's dissatisfaction with Chelsea's transfer business but Conte spent last week with seven of his coaching staff and their families at a five-star holiday resort in Sardinia, relaxing and forming plans.
But it leaves Conte facing the disastrous prospect of going into the season with his No1 target having gone to one of Chelsea's main rivals.
Indeed, the same story reveals that Costa won't be allowed to skip Chelsea's pre-season campaign if the Blues haven't agreed a transfer deal with Atletico.
Chinese Super League side Tianijin Quanjian were said to have offered £76m for Costa in January, but Atletico may be able to secure his services for around £40m.
Costa is due back for pre-season training on Monday unless he is close to a move
Monaco's Tiemoue Bakayoko and Roma's Antonio Rudiger have been tipped to join the six-time English champions, but the deals for their respective moves are far from done.
I think Lukaku should prove to be an excellent signing as he enhanced his reputation as one of the best forwards in the Premier League by scoring 26 goals for Everton last season and he should only improve at Old Trafford.
Chelsea's ability to turn success into a shambles has returned to haunt them again with the much talked about new contract for Conte remaining rather ominously unsigned.