The 27-year-old Brazilian is currently one of the most highly-rated frontmen in Serie A.
"I know directly the two sides are talking," Grimaldi said.
"I hope that a deal is done as it would be a proud day for me and my client if he joined Roma.
"Amauri can play first or second striker and he has a great relationship with Francesco Totti as they met during a spell at an injury clinic."
However, President Maurizio Zamparini gave the suggestion short shrift.
"The agent, as all agents, has only one problem; he talks too much. What he says is fantasy, Amauri is fundamental to Palermo's future."