There is little possibility that Inter milan will try to increase the amount of the offer because Lukaku for Inter milan is one of the players who can be relied upon and it has been proven that when he was at Inter milan, Lukaku was very consistent in every game.
Even though Chelsea turned down their Inter milan offer because it might only be a small amount but if Inter increased the amount quickly Chelsea would agree.
I'm not sure if Juventus offered a high price and Chelsea agreed but if Lukaku refuses then surely this transfer can't be done.
We can expect this in near future because Inter Milan is serious about him but as we have Juventus also doing negotiations about him this can turn into other way and if Juventus increase their big then most chances he will join them or there is another possibility Juventus is also looking for the swap of Vlahović which is also interesting after fail last negotiations between Chelsea and Inter Milan now his future is unpredictable but most chances we will have good chance for him to stay here in Italy and play for another big club because most chances if he has no opportunity then he is going to sit on bench for the season and then have to wait for the next season for his next chance Chelsea and their new coach is not serious about his return to the Premier League which is surely big setback for him.