It was a thrilling first round of action from the English elite, with surprising results.
It’s hard to gauge how each team will fare after just 90 minutes of action, although we certainly have an idea of what lies ahead.
Arsenal slipped to a 2-0 loss to Brentford on Friday, which prompted immediate question marks over their credentials to challenge Europe this quarter.
Manchester United have shown they should be on top with a 5-1 win over Leeds.
And while discussing the performance of the Red Devils, Souness was asked how many title contenders he thinks could be this season.
“Four,” he replied on Sky Sports. “I think you have to include Manchester United in this.
“Looking at them yesterday they looked threatening, positive, they have momentum and the crowd seems to be with them.
“They recruited good players. For me, the star of the show was Greenwood. For a young boy, I thought he was amazing. “
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Chelsea and Liverpool also had very convincing victories against Crystal Palace and Norwich respectively.
But Manchester City succumbed to a 1-0 loss to Tottenham on Sunday, though the Harry Kane transfer saga dominated the clash.
Pressed for other teams he thinks are up there, Souness added: “You have to include Chelsea. Obviously Manchester City and my old team (Liverpool).
“I think it will be tight. I don’t know if this is the hype around the Premier League because we’ve been out for 18 months.
“I just think this time around is more than usual. “
It was a bitterly disappointing first outing for Pep Guardiola and City as they fell to Son Heung-min’s strike against Spurs.
And former Sky Blues defender Micah Richards admitted they were far from the pace, especially since their title rivals got off to a good start.
“They weren’t good enough, especially by their own standards,” Richards said on Sky Sports.
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“We all know how successful they were last season, but today they just haven’t started.
“Looking at the first 15 minutes, it could have been three, four or five to zero, but the second half was a lot worse.
“There are no excuses today, we were beaten by the best team.
“We’ve mentioned it before, Liverpool, Chelsea and Manchester United have all done really well this weekend so it’s a very disappointing start. “