Atletico Madrid produced a sterling performance as they took revenge for last month’s defeat by Borussia Dortmund to move level on points with the Germans in Champions’ League Group A.
Saul struck for the home team in the 33rd minute with a left footed finish from inside the box beating Dortmund’s goalkeeper.
Likewise, Antoine Griezmann scored his third of the campaign to seal victory at the Wanda Metropolitano.
The victory moves Atletico Madrid into second place on goal difference.
Also,in the other Group A fixture, Club Brugge walloped AS Monaco 4-0 in France to make coach Thierry Henry begin on a sour note.
Both sides need just a point from their next match to qualify for the knockout stage.
Atletico host bottom side Monaco on 28 November (17:55 GMT) in match 5 of the UEFA group stage.
While Dortmund entertains Belgian side Club Brugge to Signal Iduna Park on the same day (20:00 GMT) in the penultimate round of group matches