Barcelona ended 2017 with a crushing Clasico win at Real Madrid - who are now 17 points off the pace, albeit with two games in hand - and they continued the club-record start to a season easily, although there was no sign of Philippe Coutinho.
Barcelona's previous record recruit Ousmane Dembele - a 105 million-euro buy from Borussia Dortmund in the summer - was included in the line-up for the first time since tearing his hamstring almost four months ago.
Levante started the second half as well as they did the first, Marc-Andre ter Stegen making a fine save high to his left to tip over Ivi's strike.
"As a team mate and a friend I am really happy because I think he will bring a lot to the team".
"We hope he will give us a lot".
Messi marked his 400th appearance in La Liga by giving Barcelona the early lead and taking his all-time record in the competition to 365 goals.
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But because Westinghouse has filed for Chapter 11 bankruptcy protection , it is not treated as Toshiba's consolidated subsidiary. The Japanese company later announced in November that it was exploring alternatives to sell the US -based company.
Messi opened the scoring at the Nou Camp, chipping the ball to Jordi Alba and volleying home the return.
Suarez made amends after 38 minutes, however, collecting a Sergi Roberto pass and lashing in an unstoppable volley to score for the fifth successive LaLiga game.
Suarez stepped over Messi's low ball across the six-yard box, affording Paulinho a simple finish for his seventh league goal of the season.
Real looked to be heading for a second successive league defeat after their 3-0 loss to Barca in their last outing when Daniel Wass lobbed over Keylor Navas to put Celta ahead in the 33rd minute.
With Karim Benzema injured, Bale and Cristiano Ronaldo started together for the first time since late September. Real Madrid wasted a brace by Gareth Bale as it slipped again in the title race after drawing 2-2 at Celta Vigo to trail Barcelona by 16 points.
Zinedine Zidane's side do still have a game in hand on the sides above them but they are now only one point further away from the relegation zone than they are from Barcelona.