Manchester City registered a crushing 5-1 win over AC Milan, while Chelsea and Liverpool managed to edge past NK Olimpija Ljubljana (2-1) and Olympiakos (1-0) in Sunday's round of preseason friendly fixtures.
City cruised to a 5-1 victory against AC Milan in the 2014 International Champions Cup courtesy a brace from Montenegrin striker Stevan Jovetic.
Scot Sinclair, Jesus Navas and Kelechi Iheanacho also added their names to the scoresheets as Milan were unable to crawl back into the game, managing to only get a consolation through Sulley Muntari.
City got off to a flying start at Heinz Field as Jovetic broke the deadlock in the 12th minute of the game after picking up an excellent pass from Navas.
Before Milan could take a breather, Manuel Pellegrini's men doubled their lead through Sinclair, who smashed the ball into the top corner of the net after latching on to a cross from Gael Clichy.
The Rossoneri's woes did not end as Navas tripled City's lead with an acrobatic effort that went in after taking a deflection off Andrea Poli
City teenage forward Kelechi Iheanacho then joined the party as he scored City's fourth goal of the evening close to the half hour mark. The 17-year-old, after picking up a pass inside the box, poked the ball home.
Although Milan pulled one back through Muntari towards the end of the first half, the match finally ended with City winning 5-1, with Jovetic grabbing his second in the 58th minute.
Meanwhile, Chelsea came from behind to beat Slovenian side NK Olimpija Ljubljana 2-1, with new signings Diego Costa and Kurt Zouma getting their names on the scoresheets.
The hosts broke the deadlock in the 39th minute after Nik Kapunhad weaved his way past the Chelsea defence, before finding the net with a good finish.
The Blues showed signs of improvement in the second half, and soon enough they grabbed a 56th minute equaliser through Costa, who smashed the ball past goalkeeper Seliga after receiving a good pass from Cesc Fabregas.
Seven minutes later, Chelsea went into the lead as Kurt Zouma reacted quickly to turn the ball home, after Torres' initial effort was parried by the goalkeeper.
Moments later, Chelsea scored another through Branislav Ivanovic, but the defender's strike was ruled out, and he was also shown a yellow card for committing a foul.
As the game neared its end, Chelsea had a very good chance to put the game to bed through Fernando Torres, who received an excellent cross from Nathan Ake. However, the Spain striker was unable to grasp the opportunity as he chested the ball over the crossbar.
Elsewhere, Liverpool recorded a narrow 1-0 win over Greek side Olympiakos in the 2014 International Champions Cup courtesy an early strike from Raheem Sterling.
The Reds broke the deadlock in the 5th minute of the game after Daniel Sturridge's tame effort fell to Sterling, who made no mistake as he slotted the ball home from close range.
Olympiakos tried to give a quick response to the goal as Gevorg Ghazaryan and Dimitris Diamantakos caused some problems to the Liverpool defence. While Ghazaryan curled his effort wide, Diamantakos' shot was kept out by Brad Jones.
Liverpool new boy Lazar Markovic nearly doubled the Reds lead in the closing stages of the first half, but his effort was saved by goalkeeper Balazs Megyeri.
As the second half started, Olympiakos almost grabbed the leveller through Ghazaryan, but his effort was denied by the crossbar.
Liverpool's other new signing Rickie Lambert tested Megyeri in the 75th minute, before Philippe Coutinho found the side netting after a couple of minutes.
Olympiakos got a final opportunity through Andreas Samaris in injury time, but the midfielder's effort was saved by Brad Jones, who ensured Liverpool would pick up a victory.