Without mentioning them by name, he then took aim at Napoli who were welcomed by around 10,000 people at Naples airport after their win in Turin, which at the time cut Juve's lead to one point with four games remaining.
Roma played the final 20 minutes a man down after Radja Nainggolan was sent off for a second yellow card after a foul on Argentina striker Paulo Dybala.
"The president and the directors, we will have a meeting with him next week or as soon as possible to evaluate the future, an evaluation that also depends on what his feeling and state of mind is, but on our part there is absolutely so much optimism".
"I think the greatest strength was keeping calm in all situations", he added.
"They say we are old and ugly but we are always the ones who win".
"If you get overwhelmed by enthusiasm, you're going to collapse three days later".
Roma also sealed a Champions League spot for next season and just need a point at Sassuolo on the final day next week to wrap up third spot and finish ahead of city rivals Lazio, thanks to their better head-to-head record.
"Juventus have a special mentality that has been built up through the years", Di Francesco said. "It is also a solid and united club, even in hard times. Having a team with human values as these players have them makes it easier to reach all your targets".
Federico Fazio and Lorenzo Pellegrini both tried their luck while Aleksandar Kolarov's free-kick hit the side netting. As things stand, Higuain and Dybala aren't in that category because they've not asked to leave and, as a effect, Juventus are not putting them on the market.
Juventus will play their final game in Turin next weekend and Allegri promised a big celebration.
"Napoli had a very good season and maybe both of us deserved to win the title, but together we made Serie A captivating for those overseas once again".