Argentina striker Dybala demanded £350,000 a week from United, and was unable to reach an agreement with the club, despite being told there was no future for him at Juve under Maurizio Sarri.
‘We continue to work on it in the best possible way,’ said Conte when quizzed on Lukaku after Inter beat Tottenham on penalties in pre-season friendly at White Hart Lane.
‘I understand there are some gaps that need to be filled but at the moment I am very hopeful that this will happen.
‘With Lukaku, we are talking about a good player, a striker I tried to buy in the past when I was Chelsea’s coach.
‘We are talking about two big clubs – Juventus and Inter Milan – but honestly I don’t know.’
Inter beat Tottenham on Sunday in Spurs’ final friendly before the Premier League campaign starts against Aston Villa.
Lucas Moura gave Tottenham the lead against Inter in front of nearly 60,000 at Spurs’ new stadium, but Stefano Sensi equalised and the Italians won on penalties with goalkeeper Samir Handanovic making saves from Christian Eriksen and Oliver Skipp.