PARIS, April 11 — Liverpool’s hopes of winning the Europa League were left hanging by a thread after they lost 3-0 at home to Atalanta in the first leg of their quarter-final tie yesterday, while Bayer Leverkusen beat West Ham United to extend their unbeaten record this season.

Liverpool are hoping to make this season’s Europa League final in Dublin on May 22 their final game before Jurgen Klopp steps down as manager, but they face a monumental task to turn their last-eight tie around after a stunning Atalanta performance.