Lund filed a police report alleging assault after Sambora, 55, left for Bora Bora to holiday with ex-wife Heather Locklear and their daughter, reported People magazine.
"There is no truth to her allegations and Sambora will address the accusations when he returns home," the representative said.
"He and Heather wanted to spend quality time together with Ava as a family," the rep said.
Sambora left his current girlfriend, singer-songwriter Orianthi Paraganis, home, said his rep.
Sambora and Locklear divorced in 2007 after 12 years of marriage.