Paraguay beat Trinidad and Tobago 2-0 in their last World Cup Group B game on Tuesday as both sides ended their journey in the FIFA's quadrennial event.
Paraguay, who lost to Sweden and England by identical scores of 1-0, collected three points and finished third in the group.
Trinidad and Tobago, who also lost to England 2-0 and drew Sweden 0-0, finished fourth with one point and was fourth in the group.
England and Sweden, who drew with each 2-2 at the day's another game, qualified for the knockout stage as first and second placers.
Trinidad and Tobago, the smallest nation among the 32 participating teams, should have got through to the next stage if they snatch a victory and Sweden lost to England at the same time. But an own goal in the 25th minute dashed their hopes.
Nelson Valdez got a head on a Robreto Acuna free kick and Trinidad and Tobago defender Brent Sancho directed the ball into their own goal.
Second half substitue Nelson Cuevas sealed the win for Paraguay in the 86th minute, which was a little harsh on the Trinidadians, who have been excellent in the half.