The embarrassing Copa defeat to third-tier Cultural put Diego Simeone's future in question, with some suggesting Atletico have become stale under his guidance, and Sunday's insipid display did little to disprove such concerns.
Atletico did control the first half and created the better chances, with Leganes generally offering little going forward, but the hosts' frontline struggled to link up effectively.
They arguably struggled even more in the second period without the necessary cutting edge, as Leganes clung on to a point despite left-back Jonathan Silva playing the final minutes in goal after goalkeeper Ivan Cuellar was shown a second yellow for timewasting, which involved an altercation with a ball boy.
Although they were by no means impressive, Atletico did at least manage to have the better of the first half.
Angel Correa, enjoying something of a renaissance in recent weeks, should have done better just before the half-hour mark – slamming a volley over the crossbar after Renan Lodi's cross fell to him.
Alvaro Morata and Correa then went close a few minutes apart towards the end of the half, Cuellar producing smart saves from both to ease the pressure.
Leganes coped better after the interval and, although they sat deeper than before, they almost took the lead in the 66th minute as Recio's 25-yard strike crucially took a deflection to go just over.
The visitors escaped a penalty shout soon after when Vitolo went to ground after a mistimed challenge from Unai Bustinza, but the Atletico winger was adjudged to have manufactured the contact.
Felipe also felt he should have won a spot-kick in the final 10 minutes after a seemingly accidental trip by Roberto Rosales, but again Leganes escaped.
Cuellar put Leganes in a testing position late on when his gamesmanship, which saw him shoved by a ball boy, earned him a second booking and he then sparked several on-pitch altercations by taking his time leaving the field.
But his behaviour ultimately did not come back to cost Leganes.