Everton returned pointless from the south coast after a 3-0 defeat to Southampton.
A first-half Romelu Lukaku own goal and second half efforts from Graziano Pelle and Maya Yoshida were enough to secure the decimated Saints all three points.
The Blues had welcomed back Gareth Barry to their midfield after suspension but neither he or his teammates were able to exert control of the game, despite the home side being without key players like Victor Wanyama, Morgan Schneiderlin and Dusan Tadic.
The first chance came in the 11th minute when Pelle wastefully nodded Nathaniel Clyne’s accurate centre over the bar.
Shortly after, Leighton Baines cleared from in front of the bulky Italian who was poised to tap home Ryan Bertrand’s low cross.
Everton responded by forcing a succession of corners but none troubled Fraser Forster in the home goal.
Ross Barkley drilled a low effort straight at Forster from 20 yards midway through the half but neither side were playing fluently enough to concoct many notable chances.
Lukaku’s miscued overhead kick 10 minutes before the break was a rare effort on goal for the Toffees.
Then, at the other end, Jagielka connected with Shane Long in the penalty area when trying to clear Steven Naismith’s errant flick.
The home crowd, understandably, wanted a penalty but ref Jon Moss signalled a corner.
And the Saints took the lead from that flag kick as Lukaku headed into his own net under pressure from Jose Fonte.
Pelle should have doubled the lead from another Bertrand centre moments later but his casual side foot was into the side-netting.
Samuel Eto’o headed Seamus Coleman’s pull-back way over just before half-time but it was a worry-free first 45 minutes for Forster.
Muhamed Besic was off target at the start of the second period and 12 minutes later Eto’o fluffed an attempted volley after some neat touches on the edge of the box.
It was far from a siege on the Southampton goal however, meaning their second goal would be telling.
It arrived in the 65th minute when Pelle guided Long’s knock-down past Howard.
Howard’s excellent plunging stop denied Fonte from making it three soon after.
Barkley sent a free-kick into the wall, Besic smashed a shot over and Naismith saw an effort blocked as Everton pushed.
Forster was finally pressed into significant action with 13 minutes left when he went full length to turn Lukaku’s curling effort over the bar.
Southampton did make it three in the 82nd minute when Yoshida’s bullet header flew past Howard.
Bertrand could have made it 4-0 with five minutes left but the ex-Chelsea man sliced wide.