Saul and Alvaro Morata registered their names on their score sheet by scoring a goal each when they faced their counterpart Athletic Bilbao and they beat them 2-0.
The home side had drawn three league games in a row - and four of their last five - to lose ground in the title race, but they rediscovered their scoring touch on Saturday.
Saul opened the scoring for Diego Simeone's men with just under half an hour played and Morata grabbed a second 64 minutes in to seal the victory.
A second win in seven league matches lifted Atletico a point above third-placed Real Madrid and behind leaders Barcelona on goal difference alone, though both those sides have a game in hand to play after this week's El Clasico was postponed for safety reasons.
Barcelona and Real Madrid are free this weekend after they proposed it because of political issues in Spain.