Lindsay Lohan -- Questioned By Cops After Alleged Burglary

Lindsay Lohan was interviewed by police today regarding an apparent burglary at a Hollywood Hills home last night -- but Lindsay insists ... she had nothing to do with it.

According to sources, Lindsay slept over at the home in question Sunday night after a small get together -- along with several guests -- and when everyone woke up this morning, the owner of the home claimed expensive jewelry had been stolen from the property.

Law enforcement sources tell us, police were called to the home and interviewed everyone inside, including Lindsay.

We're told Lindsay was very cooperative -- but claimed she had nothing to do with any missing jewelry.

As of now, Lindsay is NOT considered a suspect. The investigation is ongoing.

7:07 AM PT -- LAPD officers paid a visit to the Hollywood Hills home yesterday ... but didn't speak to the media when asked about the incident.