Portugal will have to qualify for the 2014 FIFA World Cup Brazil™ through the play-offs for the third successive time for a major finals, despite a 3-0 victory over Luxembourg in their final preliminary match.
The win in Coimbra left Portugal in second spot in Group F behind Russia, who got the point they needed with a 1-1 draw away in Azerbaijan.
As was the case for South Africa 2010 and UEFA EURO 2012, Portugal paid the price of not being able to put away lesser opposition.
In the absence of suspended captain Cristiano Ronaldo, Portugal dominated possession and created a hatful of opportunities.
But the minnows held out until the sending-off of Joachim in the 28th minute.
Silvestre Varela scored a minute later, followed shortly after by Nani.
Helder Postiga fired in the third with 12 minutes to play, Joao Moutinho providing the decisive pass in each of the three goals.