The contract with the Italian specialist was signed until the summer of 2023 with an extension for one more season.
Actually Man United never contacted Conte to take over Man United as their manager. Ferguson and others decided to give Ole one chance in their match against Tottenham and he proved himself so they never really contacted Conte. On other hand, Spurs sacked their coach Nuno but it was hard thing to convince Conte for the Spurs job but Patrici convinced Conte with the ideas and plans they have. Its not the money thing actually for the managers, its the ideas and plans which is much bigger factor for manager to choose a job IMO.