Getty Images/Michael Kovac
A source told Apple Insider that the two men were "basically inseparable" for about half an hour. Ive and Musk reportedly left the party together around 5 am.
It's hard to be certain about whether they actually met on Sunday - they weren't photographed together - or what they talked about if they did meet.
Ive spending time with Musk is especially interesting because of reports that Apple is working on its own electric car. Apple wants to start producing electric cars as early as 2020.
It's possible that Ive and Musk could have been talking about batteries.
On Monday Samsung announced the acquisition of Magna International's battery division. Apple had reportedly been meeting with Magna's Austrian manufacturing subsidiary, Magna Steyr.
Tesla and Apple have been trying to poach employees from each other, so that could have come up as well.