They spoke with Glassman, who was accompanied by her attorney Stephanie Ovadia and associate Anand Ahuja, who specializes in domestic violence cases, Saturday evening, Radaronline.com reports. On Sunday, the police spoke with Glassman's parents.
The police confirmed that it is looking into the situation, but would make no further comment.
Ahuja told the Web site that the burglary and Gosselin's finger-pointing at Glassman were all for attention.
"It appears to be a huge publicity stunt," Ahuja said. "The police investigation is still ongoing and we are sure the investigation will reveal that someone is trying to frame Hailey."
Gosselin's apartment was ransacked by someone who slashed furniture, stole his TV and left a note pinned to his dresser with a butcher knife while he visited his children for Christmas, his lawyer said.
The reality show star was "devastated" by the destruction he found when he returned Saturday from Pennsylvania, attorney Mark Jay Heller said in a statement, according to The Associated Press.
Gosselin's clothes, bed and other furniture were cut up, and a family-heirloom vase was shattered, Heller said. His TV, other electronics and his dishes were taken by a "very troubled and sick perpetrator," Heller said.
He wouldn't disclose who signed the note or what it said, adding that police were examining it.
The burglary marks the latest real-life drama for Gosselin, 32, who was half of the couple who rose to fame as the prolific parents of TLC's "Jon & Kate Plus 8" before splitting up earlier this year.
The couple officially divorced Dec. 18, with Kate Gosselin, 34, keeping the family home in eastern Pennsylvania and continuing as the primary caretaker of their 9-year-old twins and 5-year-old sextuplets.