However, once that bounce wore off, a lack of firepower cost Carvalhal's men as they finished the season with fewer goals than anyone bar Huddersfield. Chelsea lost 0-3 to Newcastle United to finish fifth with 70 points - five behind Liverpool, reports Efe.
They've also scored the most goals ever in a Premier League season, with 106, and have recorded the most wins in a Premier League season, with 32.
A determined and resilient display from Mark Hughes' Southampton side had seen them limit clear cut chances for champions City throughout the afternoon as well as go close to scoring themselves, but it was ultimately Brazilian Jesus' strike with the last kick of the game that stole the three points.
But Xherdan Shaqiri's penalty gave Stoke victory at Swansea and the Welsh side will join Stoke and West Brom in the Championship next season.
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"We need more consistency to challenge and a little bit more luck with injuries", said Klopp on Sunday.
4869 - Wayne Rooney set a new Premier League record for the longest gap between goals for a single team in the competition (4869 days) when he scored for Everton on the opening day of the season against Stoke City. The second half became more about seeing if Leicester could get a result and Liverpool would sneak past Tottenham for third but Spurs held on in a 5-4 thriller against Leicester that resulted in multiple lead changes.
Liverpool have remained unbeaten at home in a top-flight season for the seventh time in their history, more than any other side has managed.