Allegri says at one stage this summer he thought Milan didn't have enough money to go shopping in a supermarket.
However, in the space of just two days, the Rossoneri lit up the transfer market with the arrivals of Zlatan Ibrahimovic and Robinho.
Speaking to the Milan Channel, Allegri said: "I didn't expect a reinforcement like Robinho. He is a player of great calibre.
"We are talking about a wonderful present from Berlusconi, who I would like to thank again with my heart."
When prompted on Ibrahimovic, Allegri said: "I am very happy with his arrival."