The Blues took the lead against Spurs at Stamford Bridge on Easter Sunday through Alvaro Morata in the first half, but Christian Eriksen levelled before half-time, and Dele Alli struck twice after the break to secure the victory for Tottenham.
The win left Tottenham in fourth place in the table and eight points ahead of Chelsea FC with just seven games left to play this season.
Chelsea FC are looking as if they will have to settle for a place outside the top four in Conte’s second season in charge at the west London club.
And the Italian manager was realistic about his side’s hopes of sealing Champions League qualification after Sunday’s game.
Speaking at his post-match news conference, Conte said: “I don’t know. On one hand, we must be realistic to understand the teams that stay ahead of us are going very fast, and today we had a great chance to reduce the gap with Tottenham, but we lost this chance.
“On the other hand, we have to try to do our best to do everything to try to take a place in the Champions League but it won’t be easy. We must know this.”
Chelsea FC will return to Premier League action on Sunday with a home clash against West Ham United in the top flight at Stamford Bridge.
The Blues will also take on Southampton in the FA Cup semi-finals later this month as they look to try and end the campaign with a trophy.
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