1. Resolve Terry's future

Hailed as "captain, leader, legend" on the banner hung by adoring fans at Stamford Bridge, John Terry's credentials as a Chelsea icon and a major inspiration behind its success are well established, yet Conte will be faced with the thorny problem of potentially ending that two-decade love affair. The 35-year-old defender dropped a bombshell in January when he announced he will leave at the end of the season because the club had told him he wouldn't be given a contract extension. Chelsea has since insisted Terry's fate will be decided solely by the new manager, leaving Conte to weigh up the benefits of keeping a figure of Terry's experience and tenacity to create a smoother transition to the new era, while also pondering whether his fading form and declining influence in a dressing room now populated by younger and less deferential teammates mean it would be wiser to sever ties with the polarizing captain.

2. Change the mood music