Barca, who were without injured talisman Lionel Messi, started on the back foot and fell behind when Nabil Fekir netted with a sublime angled strike in the 15th minute. Griezmann, who joined Barca last month from rivals Atletico Madrid, scored four minutes before halftime to level the scores.
A late goal by Toni Kroos sealed victory as Real Madrid defeated an impressive Celta Vigo side 2-1 to win their first home La Liga game of the campaign on Saturday.
Chelsea's Marcos Alonso and Real Madrid's Nacho were notable absentees in defence, along with Atletico Madrid midfielder Koke.
Here are five talking points from the weekend's action:
Real Madrid returned to winning ways after last weekend's drubbing at Atletico but failed to convince and were whistled by their own fans during a drab 2-0 victory at home to Deportivo La Coruna on Saturday.
The league said last week that the deal, called 'Boost La Liga', would strengthen its clubs and give them funds to spend on new infrastructure and modernisation projects as well as increasing how much they could spend on players' salaries.
The Bavarians have now won the German league title a record 29 times.
Real Madrid took full advantage of Barcelona's shock defeat at Real Valladolid with a 3-0 home win over 10-man Levante on Sunday that put Carlo Ancelotti's in-form side three points clear at the top of La Liga.
Arsenal led a list of nine clubs who grabbed a second win in as many games in the Europa League group phase as France striker Olivier Giroud scored his 100th goal for the club in a 4-2 win at BATE Borisov on Thursday.
The clinical Argentine Messi now has 11 goals in his last five games in all competitions and with record signing Ousmane Dembele injured and Luis Suarez rested, he put on a sensational show at Camp Nou to extend Barcelona's La Liga lead.
Liverpool striker Daniel Sturridge was substituted with a thigh injury as the English Premier League club beat Bayern Munich 3-0 in a pre-season match in Germany on Tuesday.
Pep Guardiola will take charge of Premier League Manchester City from July on a three-year contract. Keep reading to know more about Guardiola...
News of all that transpired on and off the football field.
Cristiano Ronaldo scored his 400th goal for Real Madrid as Zinedine Zidane's side closed in on a first La Liga title since 2012, easing to a 4-1 win over Sevilla on Sunday while Neymar hit a hat-trick for Barcelona, who thrashed Las Palmas 4-1.
England defender John Stones has been ruled out of their final two Euro 2016 qualifiers through injury, the FA said in a statement.
Lionel Messi scored one penalty and missed another as his double helped Barcelona sweep Levante aside in the second half in a 4-1 victory on Sunday to maintain their perfect La Liga start.
Gijon spoiled Asier Illarramendi's return to Real Sociedad's midfield after rejoining from Real Madrid this week when they held the Basque club, coached by Scot David Moyes, to a 0-0 draw in San Sebastian.
Underlying tensions mean Luis Enrique will not be remembered with the same reverence as Pep Guardiola, even though he has delivered a similar trophy haul.
News of all that's transpired on and off the football field
Real Madrid fans could be forgiven for wondering whether a new president is needed rather than yet another new coach after Carlo Ancelotti was sacked.
If you ask Barcelona and Spain fans about their most cherished footballing memories over the past decade the chances are they will involve an exquisite intervention from midfield maestro Xavi.
The enduring image of Luis Enrique for many soccer fans is the Spain player with blood gushing from his nose after a vicious elbow from Italy defender Mauro Tassotti during the 1994 World Cup quarter-final in Boston.
Barcelona wrap up 23rd La Liga crown with Lionel Messi goal.
Barcelona's Neymar scored twice and Luis Suarez was also on target as they reached their fourth King's Cup final in five years with a 3-1 win away to Villarreal on Wednesday that gave them a 6-2 aggregate victory.
Atletico Madrid tore apart city rivals Real Madrid 4-0 at home to open up the La Liga title race on Saturday in a triumph crowned by a spectacular overhead kick goal by Saul Niguez.
Cristiano Ronaldo netted his 27th career hat-trick and Gareth Bale struck twice as Real Madrid bounced back in style from consecutive defeats with a thumping 8-2 La Liga win at Deportivo La Coruna on Saturday.
AC Milan clung on to beat Parma 5-4 away in Serie A on Sunday despite an dreadful defensive display which included Mattia De Sciglio scoring an extraordinary own goal from near the halfway line late in the match.
The goal machines of Bayern Munich, Chelsea and Shakhtar Donetsk cranked into top gear on Tuesday as the Champions League captivated its continental audience with a record 40 goals in one eight-game night.
Manchester United flirted with calamity before coasting into the Europa League last 16 as debutant Marcus Rashford helped them overcome an early blow with two goals in a 5-1 home victory over Midtjylland on Thursday.
A red hot Luis Suarez scored four goals and contributed three assists as Barcelona's stuttering La Liga title charge sparked back to life with a spectacular 8-0 thrashing of Deportivo La Coruna on Wednesday.
Former Real youth player Joselu pulled a goal back for Alaves in the 59th minute, powering in a header from a free kick, but Benzema rounded off the victory for second-placed Real with an exquisite solo run and goal in the 70th minute.
Barcelona have been haunted by their recent failures in the Champions League and there are concerning signs for the Catalans as they prepare for Tuesday's last-16 first leg away to Olympique Lyonnais.
Barcelona teenager Ansu Fati scored twice to lead his side to a 2-1 win at home to Levante on Sunday, finding the net in a league game for the first time in more than four months and becoming the youngest player to net a La Liga double. Romelu Lukaku scored a quickfire second-half double to give Inter Milan a 2-0 win at Udinese on Sunday, ending their run of three successive 1-1 league draws.
Barcelona suffered a first home defeat of the season when they lost 3-2 against Valencia after finishing with 10 men in La Liga on Saturday, leaving the door open for Madrid rivals Atletico and Real to move above them.
New Liverpool boss Juergen Klopp made it three wins from his last three matches with a 1-0 success at Rubin Kazan in Russia that left them second in Group B, two points behind Swiss club Sion on Thursday.
Juventus and Inter, who have 42 points each from 17 games, both play on Monday while Lazio, with 39 from 17, have an outstanding fixture at home to Verona to come in early February.
The Champions League quarter-final between Liverpool and Manchester City is one of the most anticipated games of the season pitting the Premier League's runaway leaders against the top scorers in Europe's elite competition.
Real Madrid defender Raphael Varane made up for the absence of Sergio Ramos by scoring one goal and making another to help his side to a hard-fought 3-0 win at Getafe. La Liga leaders Barcelona were held to a 2-2 draw at struggling Espanyol on Saturday as China striker Wu Lei came off the bench to grab a late equaliser in a pulsating city derby.
Images from the Champions League matches played across Europe on Wednesday.
The Champions League group stages took on a less predictable look after Thursday's draw, helped by UEFA's decision to tweak the seeding system.