Luka Modric (No.10) of Croatia controls the ball on June 13, 2022 in Paris, France. Photo: VCG

Luka Modric's early penalty gave Croatia a 1-0 win over off-form France in Paris on Monday as the World Cup holders finished their June run of UEFA Nations League matches without a victory in four outings.

Veteran Croatia captain Modric stroked in his spot kick after just five minutes at the Stade de France, and the home side could not find an equalizer despite Kylian Mbappe returning to join Karim Benzema in the starting lineup.

France won the previous edition of the Nations League last year but they have managed just two points from their four outings this month, with home defeats against Denmark and now Croatia sandwiching draws away to the Croats and in Austria.

As a result, Les Bleus are bottom of League A, Group 1, seven points behind leaders Denmark who beat Austria 2-0 in Copenhagen on Monday with first-half goals by Jonas Wind and Andreas Skov Olsen.

Didier Deschamps' team may now need to win their last two group games in September to avoid being relegated to the less glamorous League B.

Those matches are also the only games they have left before they begin their defence of the World Cup against Australia in Qatar in November.

"It is not an excuse but in this ­get-together we have lacked strength, energy and character too," said Deschamps, who missed the defeat against Denmark earlier this month following the death of his father.

"It hurts because we have not managed to win a game. Maybe I didn't have the usual energy to transmit to them either."

This clash was the latest meeting between the sides who contested the 2018 World Cup final in Moscow, although Mbappe, Modric and Marcelo Brozovic were the only players who started that day to line up at kick-off here.

The home fans in the crowd of over 77,000 were left stunned as the Israeli referee awarded the visitors an early penalty when Liverpool defender Ibrahima Konate was adjudged to have fouled Josip Brekalo.

The evergreen Modric, back at the ground where he won the Champions League with Real Madrid at the end of last month, made no mistake with the resulting penalty even though France goalkeeper Mike Maignan got a touch.

From then on it took the occasional burst of pace by Mbappe to bring the crowd to life, although the closest France came to scoring in the first half was when Christopher Nkunku blasted just wide from range.

Mbappe had come off injured against Denmark and so missed the draw in Croatia before emerging from the bench to score a late equalizer in Austria.

The Paris Saint-Germain forward did his best to conjure a leveller as he came close twice early in the second half, and the hosts also had an appeal for a penalty dismissed when Lucas Digne went down in the area.

Meanwhile Maignan parried away a fine strike by substitute Lovro Majer at the other end, but Croatia - with Modric as majestic as ever - saw the game out as goalkeeper Ivica Ivusic stopped Josip Sutalo scoring an own goal.

The final whistle was greeted by jeers and Deschamps will hope France's summer slump is simply down to the fatigue among his players after a long campaign, rather than a sign of what might be to come later in the year.

The last raft of Nations League matches before the curtain comes down on the European season will take place on Tuesday, when Germany take on Italy in Moenchengladbach in the standout game.