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Indeed, the Italian can have no doubts about his popularity, with his name being sung repeatedly by the away end throughout the opening stages of the game.
And with Arne Slot insisting this week that the 27-year-old can have a long-term future at Liverpool, this was an opportunity to repay the support of his manager and those singing his name by showing them the qualities that made him one of the most exciting talents in Serie A just a few short years ago.
But so few and far between have been his opportunities that the Italian simply has to make them count when they do arrive.
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One scuffed shot aside, the Italian all but disappeared in the second half, replaced by another popular player in Darwin Nunez after the hour mark.
Interesting times lie ahead for both men.
Szoboszlai experiment succeeds
There was always going to be a degree of trial and error to Arne Slot's team selections after Liverpool wrapped up the Premier League title last month against Tottenham.
And as it turned out, the experimental nature of Liverpool's line-up should mean it was no surprise that Brighton got 11 shots away in the first half, even if the Reds did go into the break with the lead.
It was his sweeping pass that sent Conor Bradley scampering away to set up the opener and he notched Liverpool's second goal with a cross that sailed past Bart Verbruggen.
Further encouragement could be found with more longer range passes and deft touches, though the 24-year-old was, at times, guilty of being a little slack with his passing.
With some suggestions online that the line-up was one designed to accommodate a player such as the sought after Florian Wirtz, Szoboszlai was able to show the versatility valued so highly by the Liverpool head coach
More records but poor run continues
Liverpool completed the set against Brighton, scoring in all 19 away matches this season, with Nottingham Forest the only English top flight side to keep a clean sheet against the Reds throughout the whole campaign.
The Reds also set a new Premier League record of netting two or more goals in 31 games
It speaks volumes to the away improvements demanded and delivered by Slot when assessing his new team in the summer, with their form on the road and ability to threaten across the pitch the backbone of their title charge.
And while it's now three matches without victory since the championship was secured, it was hard to tell judging by the party going on in the away end, with the Liverpool supporters working their way through the songbook as they enjoyed their day out at the seaside.
It will remain a source of frustration, however, that Liverpool left successive games in which they have led slip, with Arsenal and now Brighton benefitting from their slackness
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