Check out the breakdown of the game below.
Shaqiri had a hand in the first and third goal for Liverpool and caused problems for the Saints throughout, while Matip's header midway through the first half gave Liverpool the two goal cushion to play the exciting brand of football that fans have come to expect.
Xherdan Shaqiri's first Liverpool start lasted just 45 minutes, and Jurgen Klopp has revealed why he substituted the Swiss global.
'So far Liverpool winning, City winning, for Tottenham and Arsenal, for Chelsea and United to drop points against two of the lesser sides it's a really big thing.
Alex Oxlade-Chamberlain remains Liverpool's long-term absentee but Klopp has revealed a number of players on ht injury table could be available for selection soon.
Here's what Liverpool supporters made of Shaqiri's debut start... Indeed, he was unlucky not to get off the mark with a goal of his own.
Liverpool had pretty much won the game before the break after scoring three times. Jurgen Klopp's men defeated Southampton by 3-0. "They're playing a good style, with forward players who are exceptional, and because of that I think they're a real threat".
The Reds have started the season with a bang.
That particular campaign produced a decent return of results that finished with the club finding themselves fourth in the Premier League standings and emerging runners-up in the UEFA Champions League, all due to their prolific goalscoring haul of 135 goals in all three campaigns (Premier League, FA Cup, and Champions League) despite having a very much suspect defence. "He trained completely four times now and he had a very intense period before that with the fitness guys, 10 days or so". The win was important as the Merseyside team faces Chelsea, Manchester City and Napoli.