But here Express Sport takes you through the five things at the top of his in-tray.
1) John Terry – the skipper, 35, has not been offered new deal. There have been reports Conte would like him to stay, but expect talks first.
2) Diego Costa – Conte wants the striker to stay even though the Spaniard is intent on a move back home. He will take some persuading.
3) The defence – Conte wants at least two new centre-backs to shore up a defence that has let in 41 goals in 31 games this season.
4) The kids – Roman Abramovich wants his youngsters to be given a chance, but they will have to be good enough for such a hard taskmaster.
5) Another top striker – Conte likes two in his team, so even if Costa stays, he will want another. Napoli’s Gonzalo Higuain is a target, as is Everton’s Romelu Lukaku.