The Portuguese, named as Paulo Fonseca's successor on Tuesday, will take charge of the Italian capital club at the end of the season.
To mark his arrival, a Rome ice cream parlour has created a "Special One" flavour, described as a "breath of fresh air, joy and energy". It is a citrus flavour mixed with white chocolate.
Conte led Inter to their first Serie A title in 11 years on Sunday with four games to spare, before Mourinho was surprisingly announced as Roma's new coach from next season two days later.
"This is great news, I wish him all the best - apart from when he plays against Inter," Conte told Italia 1.
Kane hobbled off in Tottenham's 2-2 draw with Everton this month and missed Wednesday's 2-1 victory over Southampton in which Gareth Bale played up front and scored.
"We are never going to put Harry in that position, absolutely not. We will see how he is tomorrow and we can make a decision from there. Ultimately, we'll speak to him -- 'how do you feel?' -- and go from there."
"The Club can today announce that Jose Mourinho and his coaching staff Joao Sacramento, Nuno Santos, Carlos Lalin and Giovanni Cerra have been relieved of their duties," it said.
The news comes the morning after the London club said it was one of 12 clubs forming a breakaway European Super League - a development that has been widely condemned and threatens a bitter power struggle in the European game
The game became increasingly open in the final minutes. De Gea made a fine save before an own goal from Jesus Vallejo sealed a 2-0 second-leg victory for United.
The row erupted following Sunday's 3-1 win in the Premier League for United when Solskjaer senior criticised Spurs attacker Son Heung-min for exaggerating a blow to the face.
"I always get fed, I can assure you of that," the 20-year-old midfielder told the paper with a smile, adding that his Norwegian team mates had teased him over the incident when he arrived for training on Monday, asking if he'd had breakfast.
"He was injured, trained with the team fully this morning," Mourinho told reporters.
"He did partial exercises with the team yesterday and last week didn't train at all. This time we have (Matt) Doherty and Ben Davies out. Sergio Reguilon is ready."
Mourinho is expected to be given the chance to end Tottenham's 13-year wait to win a trophy in the League Cup final against Manchester City on April 25.
When Argentine winger Erik Lamela conjured a piece of wizardry to put Tottenham ahead against Arsenal last Sunday with a 'Rabona' goal it seemed it was rubbing off on his players.
After the most humbling European night of his glittering managerial career an ashen-faced Mourinho accused his players of failing "with the basics of life".
Spurs are scheduled to host Wolfsberger on Feb. 24, three days after their Premier League game away to West Ham United.
"No good news. He (Reguilon) is not coming (to Budapest)," Mourinho told reporters. "No setback, just the process is not going as fast as we initially thought.
Bale's return to Spurs on loan from Real Madrid has been an anti-climax with the Welshman barely featuring in the Premier League because of injuries and lack of match fitness.
I have to admit that his post created something that needed to be addressed because there was a contradiction between the post and the reality.
Mourinho said he had reached out to defender Ryan Sessegnon, who is on loan at German side Hoffenheim, after he had been targetted on social media in November.
We speak with the players if the situation arises," Mourinho told reporters ahead of Wednesday's FA Cup fifth-round tie at Everton.
Spurs suffered their third consecutive Premier League defeat for the first time since Nov. 2012 on Thursday as they were beaten 1-0 by Thomas Tuchel's Chelsea.
Having led the league at the start of December, Spurs now sit in eighth place, 14 points behind table-toppers Manchester City.