Raheem Sterling scored his first Chelsea goal since joining from Manchester City as the Blues beat Udinese 3-1 in Italy.
The England forward, who arrived from City in a £50m deal, put Chelsea 2-0 up after N'Golo Kante's opener.
Former Everton and Watford winger Gerard Deulofeu pulled one back for Udinese before Mason Mount wrapped up Chelsea's win late on.
Elsewhere, Dwight McNeil shone on his debut as Everton beat Dynamo Kyiv.
McNeil, who joined the Toffees from Burnley for £20m earlier this week, struck twice after coming off the bench to seal a 3-0 win for Frank Lampard's side at Goodison Park.
Having been introduced just after the hour mark, McNeil rifled home on 73 minutes before bagging his second five minutes later after being set up by fellow debutant Ruben Vinagre.
Dominic Calvert-Lewin put Everton ahead after five minutes when he slotted home after being picked out by summer signing James Tarkowski.
An unofficial fourth goal was added by an Everton supporter who converted a penalty after being invited onto the pitch in recognition of his humanitarian work.
Paul Stratton travelled to the Ukrainian border with Poland to hand out supplies to fleeing refugees following the Russian invasion.
He was given instructions by Toffees boss Frank Lampard on the touchline before taking to the pitch in full kit, scoring at the Gwladys Street End and celebrating in front of fans and Everton's players.
At Stadio Friuli, Kante marked his return to the Chelsea line-up after missing the tour of the US with a goal before Sterling lifted the ball over Udinese goalkeeper Marco Silvestri following Jorginho's pass.
Centre-back Kalidou Koulibaly also made his first Chelsea start since signing from Napoli.
Chelsea open the 2022-23 Premier League season away to Everton on Saturday, 6 August.
Elsewhere, Chris Wood's first-half penalty was enough for Newcastle to beat Serie A side Atalanta at St James' Park.
Newcastle host Athletic Bilbao on Saturday before entertaining newly promoted Nottingham Forest on 6 August.