The equaliser invigorated Lincoln who remained on top for the rest of the half as they went in search of the go-ahead goal, but Riga held strong until half-time.
The half-time break probably came at the wrong time for Lincoln, as the Gibraltarian champions started slowly in the second half which allowed the visitors to gain control.
Despite Riga’s early dominance, Lincoln held strong and much like in the first half, grew into the game and looked the more likely of grabbing another goal.
In fact, Lincoln were literal millimetres away from taking the lead in the 65th minute, as Liam Walker saw his curling free-kick canon off the post before Kike Gómez headed his rebound onto the crossbar - Agonisingly close for Lincoln.
The missed chances again only seemed to serve as fuel to the Lincoln fire who continued to push and towards the end of the match had Riga FC pinned back deep into their half, but the visitors held on and extra-time awaited.
As was the case in both the first and second halves, Riga started the stronger of the sides, but the Latvian side, whose energy had clearly been sapped in the hot Gibraltar sun, quickly lost control of the game as Lincoln looked to kill the tie.
Again, Lincoln pinned back their opponents, with substitute and Lincoln club captain Roy Chipolina grabbing the go-ahead goal just before half time, as he ran away from his marker and climbed highest to head a Liam Walker corner kick into the back of the net.