The two clubs reached an agreement over Doni's transfer earlier this month, but the 31-year-old turned down the offer to join the Premier League club.
"I have only received an official offer from Liverpool," Doni told Italian newspaper Il Tempo. "But I could not accept those conditions.
"I would have had my salary cut by 60 per cent.
"After signing a five-year contract extension with Roma in 2008 and having given a knee for Roma's cause, I am unwilling to give away money."
Doni joined Roma in 2005 from Brazilian side Juventude and had knee surgery two years ago.
The South American has been an understudy to Julio Sergio in recent seasons, and made 16 league appearances for Roma this term.