A 2-0 loss at Colo Colo last time out put the league leaders under pressure, but they responded with a 2-1 victory over Palestino.
It saw them maintain their two-point advantage at the top, despite Colo Colo and Santiago Wanderers winning again.
First-half goals from Enzo Gutierrez and Patricio Rubio put Universidad Chile in control on Sunday before Cesar Valenzuela's effort after the break.
Martin Lasarte's men are two points clear of Colo Colo, who recorded a 2-0 victory at Union La Calera.
Gonzalo Fierro struck first before Esteban Paredes netted his 11th goal in what has been an impressive league campaign.
Paredes' goal came after Hugo Bascunan was sent off in the 58th minute for Union La Calera.
Roberto Gutierrez's goal in the 36th minute led to an unusual celebration, as Wanderers players took a selfie.
Elsewhere, Mathias Riquero's brace guided Nublense to a come-from-behind 3-1 win over Union Espanola.
Universidad Catolica battled past Audax Italiano 2-1 and O'Higgins were 3-0 winners over Huachipato.
