Estonia won the battle of the bottom two sides in Group D after edging past Andorra thanks to a second-half goal from Andres Oper.
The veteran striker headed home the only goal in the 57th minute after half-time substitute Martin Vunk's shot had struck the crossbar as Estonia claimed the spoils in a match they largely dominated in terms of chances.
Neither country had picked up a point or even scored a goal from their opening three World Cup qualifiers, but Estonia, ranked 132 places above Andorra, would have been hopeful of getting off the mark tonight.
They were unable to beat home goalkeeper Josep Anton Gomez before half-time, but needed just 12 minutes of the second period to take the lead thanks to 34-year-old Oper.
That proved to be the match-winner as Andorra, who were convincingly beaten in their opening three games, could find no way back as they remained rooted to the foot of Group D.