The Italian winger started for Inter in the side's pre-season friendly versus Chelsea and a number of Blues fans spotted the two managers having an animated discussion in the lead-up to kick-off at the National Stadium in Singapore.
As for the game against Chelsea, Spalletti said: "We must have more personality when we have the ball possession".
At the beginning of the second half, Jovetic thought he has scored again but the linesman at the far side blew for an offside.
In contrast, Chelsea's big-money signing Alvaro Morata was quiet on his first start since moving from Real Madrid last week and made little impact before being substituted in the 64th minute. Jovetic had his penalty saved by Courtois but tapped in the follow up right at the end of the first half to give Inter the lead.
Things are looking up for Inter in a major way under the tutelage of Spalletti, meanwhile, as they have beaten Lyon, Bayern and the Blues in the space of five days and topped the ICC's Singapore table as a result.
Stockton Teenager Livestreams The Fatal Crash That Killed Her Sister
An 18-year-old California woman has been arrested and charged in the death of her 14-year-old sister in a drunk driving accident. Obdulia is being held on vehicular manslaughter while under the influence and DUI charges in the Merced County Jail.
He hopes to bring in reinforcements into the squad ahead of the English Premier League season where Chelsea will face Burnley on August 12.
Stevan Jovetic converted a controversial penalty at the second time of asking on the stroke of half-time, and Geoffrey Kondogbia's own goal in the 74th minute served only as a consolation for Chelsea, as Ivan Perisic had doubled Inter's lead after the break.
Chelsea boss Antonio Conte was sympathetic: "It can happen, can happen - this is football".
With Chelsea 2-0 down and seemingly out of the contest, the Frenchman threw the English side a lifeline in the most weird fashion, lobbing his own goalkeeper Daniele Padelli from all of 40 yards with a miscued back-pass.
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