It was a controversial win for Argentine hosts Jaguares, whose try prior to half-time was awarded by TMO for a 17-15 lead.
Thomas Banks' second-half try, converted by Christian Lealiifano, secured the Brumbies a 19-17 victory over the Stormers.
Lachlan Boshier crossed twice as the Chiefs overcame the Blues in Hamilton. In Canberra, the Brumbies were 31-20 winners over the Lions.
The Waratahs went down to the Blues despite Israel Folau making Super Rugby history, while there were wins for the Crusaders and the Rebels.
After three straight losses to start the Super Rugby season, the Reds made it back-to-back wins by beating the Brumbies.
The Chiefs halted their losing run by drawing an entertaining derby with the Hurricanes, while the Brumbies saw off the Waratahs.
The Hurricanes lead the way in Super Rugby after a 25-22 win over the Highlanders, while the Rebels triumphed 29-26 against the Brumbies.
Ngani Laumape tormented the Brumbies as the Hurricanes dished out a hammering, while the Rebels made it two wins out of two.
New Zealand pair Richie Mo'unga and Scott Barrett scored two tries each in a convincing win for the Crusaders.
Sio Tomkinson's red card made a Highlanders comeback look unlikely, but Aaron Smith had other ideas and punished the Chiefs.