A 3-2 win over Santiago Wanderers saw Universidad Chile make it three wins from as many games to be the only team left in the Primera Division with a 100 per cent record.
They sit two points clear at the top, with Colo Colo second on seven and a host of teams a further point back.
Martin Lasarte's Universidad Chile were fortunate to take the lead in front of their home fans in the sixth minute.
But, much to Parra's relief, the visitors were level thanks to Roberto Gutierrez's neat finish in a one-on-one in the 17th minute.
Patricio Rubio made it 3-1 early in the second half before being sent off but his side held on despite Marco Medel's late goal for Wanderers.
Juan Delgado finished a team move in the seventh minute but last season's champions had to wait until the second half to add to their tally.
Nublense drew 2-2 at Palestino, there were two red cards as O'Higgins and Universidad Concepcion drew 2-2 and Audax Italiano overcame Barnechea 3-1.
