Croatia won their play-off second leg against Iceland 2-0 to qualify for next summer's World Cup.
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Mario Mandzukic scored but was then sent off, all within the first half, and Darijo Srna netted a second early in the second period.
Iceland could find no way back and the win was enough to see Niko Kovac's side to Brazil.
Croatia dominated from the outset, with Kari Arnason blocking Luka Modric's effort and Darijo Srna's free-kick brilliantly saved by Hannes Thor Halldorsson.
Mandzukic headed Ivan Rakitic's corner over but fared better in the 27th minute, side-footing firmly home at the far post when another Rakitic delivery was scuffed across goal by Ivan Perisic.
The striker was denied after diverting Srna's mis-hit shot towards goal and then saw his involvement ended after 37 minutes.
Having miscontrolled the ball, Mandzukic stretched to recover possession but instead caught Johann Berg Gudmundsson with his raised studs and was shown a straight red card.
Iceland's only response before the interval was a weak Gudmundsson effort easily saved by Stipe Pletikosa and a blast over the bar from Gylfi Sigurdsson.
With nine shots to two, six corners to nil and 66 per cent possession, Croatia were good value for their lead and they added a second goal two minutes after half-time.
Following a good run by Mateo Kovacic, Srna's bobbling angled drive eluded Halldorsson's weak dive and found the net as the keeper reacted too late.
Halldorsson made a good save to deny Perisic and from the resulting corner, Ivica Olic's overhead effort hit the crossbar.
Iceland appealed in vain for a penalty after Rurik Gislason went down under Josip Simunic's challenge but the visitors were struggling to create any clear chances.
Their best effort came when captain Sigurdsson fired a left-foot effort just over with five minutes remaining and Croatia could even have made it 3-0 through substitute Ante Rebic late on.