Sunderland are keen on adding the 27-year-old to their squad before the end of the transfer window and have already had an offer turned down.
Bologna are holding out for a fee of around €28 million, the same figure he had in his contract as a release clause, which expired earlier in the summer.
Lucumi’s agent has since come out and publicly urged the club to accept a bid from the Premier League new boys.
Rondanini said: “I carefully read the words of the CEO of Bologna, whom I respect a lot, as well as the club that has accompanied Jhon in these wonderful years.
“It's natural to feel a little disappointment, because our relationship with the club has always been human. From the beginning, our project was linked to a stay of two or three years, recognising in Jhon a constantly growing player.
“Last year we were asked to stay and we did so with great availability. This year, however, since the beginning of the season, the message has always been clear on both sides: if the right offer had arrived, Jhon would have had the possibility of a transfer.
“I therefore hope that on the part of Bologna there can be a reflection that allows us to find a balanced and positive solution for everyone. I understand the importance of the club and the player, and I only expect that our request can also be understood”.