Messi, making his 550th appearance for Barcelona, then added the second and third goals to ensure the Spanish champions halved the deficit at the top of the table.
Tottenham responded well to falling behind, creating a raft of chances, but Jason Steele made several good saves to deny the in-form Richarlison and Dejan Kulusevski, while James Maddison curled narrowly wide.
Chelsea will regret missing a host of chances, nearly all falling to striker Nicolas Jackson, as they suffered another agonising Wembley experience after the extra-time defeat on penalties against Liverpool in the Carabao Cup final.
Tottenham threatened an unlikely comeback after Alejo Veliz and Ben Davies pulled two back, but Spurs could not convert a string of other late chances.
With so much at stake for both teams, it was perhaps understandable chances were in limited supply but the second half was a livelier affair with Leon Goretzka heading against the post before Guerreiro's follow up was scrambled away by Raya,
In the second half PSG was content to sit back and defend the one goal lead. Manchester City took advantage and notched two goals both from set pieces.
In the second half, Oparanozie, who also scored Nigeria's winner against South Africa in their semi-final, hit the decisive goal again when she broke the deadlock seven minutes from time.
Spurs actually had the better chances in the second half, with Steven Bergwijn firing wide then hitting a post when clean through and Harry Kane heading over from point-blank range.
Despite having 84% of possession in the first half and wasting numerous chances, Liverpool conceded a 58th-minute equaliser as Gustavo Hamer's header bounced off Conor Bradley and into his own net.
But that was as good as it got for Spurs, who were subdued throughout and saw Wolves miss several chances before Sarabia volleyed a leveller past Guglielmo Vicario in the 91st minute.
Chelsea created numerous chances throughout, and it looked as if Mauricio Pochettino's men would pay for their wasteful finishing for a second consecutive match.
Aminu, Iheanacho and Arsenal forward, Alex Iwobi, all had chances in the first half but could not increase the tally for Nigeria. Luxembourg came out attacking in the second half but still hardly troubled the Eagles defence.
It was only Fred's second goal of the season - and it was the first time since the middle of September that United have recorded back-to-back league wins.
Luis Diaz and Cody Gakpo both struck in the space of three first-half minutes before Mohamed Salah's penalty after the break and Gakpo's second late on in a straightforward win.
City were racking up the chances too, but seemed unable to take any of them, or even seriously test Chelsea goalkeeper Dorde Petrovic despite piling on the pressure in the second half.
Sadio Mane's acrobatic header finally put the Reds ahead after a host of missed chances, before Philippe Coutinho drilled in a second from 20 yards three minutes later.