Hansi Flick's side have started the season with a perfect record after five La Liga matches but struggled to find their best level against the Ligue 1 side.
Paris Saint-Germain were confirmed as Ligue 1 champions on Sunday without playing after closest challengers Monaco lost 3-2 away to Lyon.
"Monaco are a team on the same level as us and also aspire to win the league, so it is a good result," said PSG coach Luis Enrique
Messi played the full 90 minutes of PSG's 2-1 defeat by Olympique Marseille in the French Cup on Wednesday and the 35-year-old is in a race against time to be fit for their Champions League last-16 clash with Bayern Munich on Tuesday.
French champions Monaco finished the Ligue 1 season in style with a record 12th consecutive win as they beat Stade Rennais 3-2 away on Saturday.
For Monaco, after the euphoria of a league title won in brilliant style will come the realisation that this could be the start of a glorious era.
Teenage star Kylian Mbappe helps Monaco secure their first Ligue 1 title in 17 years with his 15th goal of the season in Wednesday's 2-0 victory at home to Saint-Etienne.
A stunning Dani Alves volley helped Juventus stroll into their second Champions League final in three years on Tuesday, a 2-1 win on the night completing a 4-1 aggregate victory over outclassed Monaco.
Monaco edge closer to a first Ligue 1 title since 2000 as a 3-0 win at Nancy gives them a three-point lead over defending champions Paris St Germain.
Former Norway international left-back John Arne Riise, who played for top European clubs including Liverpool, Monaco and AS Roma, announces he is retiring from football.
Colombian striker Radamel Falcao confirms that he is returning to Monaca, where he played in 2013 and 2014, after two mediocre seasons on loan at Manchester United and Chelsea.
Russian online security specialist Eugene Kaspersky says cybercriminals will one day go for bigger targets than PCs and mobiles, sabotaging entire transport networks, electrical grids or financial systems.
In the midst of a frustrating start to the season, Jose Mourinho returns to Portugal on Tuesday as Chelsea face his old side FC Porto in the Champions League.
A virtuoso performance from Sergio Aguero led Argentina to a 7-0 friendly win over Bolivia in Houston.
Chelsea sign Monaco striker Radamel Falcao on a season-long loan deal, with the option to make the deal permanent.
The July 12 event will also feature performers Lemar and Justin Caldwell in an exclusive event for the some 37,000 residents of the world's second smallest state behind the Vatican.