The tweets, which surfaced two days ago on Penna's Twitter, said that Price will always stay unhappy and men just use her physically, reported Daily Mail online.
"Miss Katie Price doesn't have 'sex toys', she has lots of boy toys.... She will always be unhappy," the post read.
Penna's agent has denied the reports saying, "The use of English shows it couldn't have been Leandro, he can't even speak English. I tried to explain to him what had happened."
Price and Penna ended their relationship last month.
Just days after news of the split, Penna was pictured kissing a pretty girl in the sea in Miami.
Penna and Price met at Elton John's Oscar party in Los Angeles in early 2011, just two months after ending her marriage to Alex Reid.