All three films were shot by Mexican Emmanuel Lubezki, who made history by winning his third consecutive Oscar for best cinematography after shooting The Revenant in extreme winter conditions.

Inarritu, Cuaron and their friend Guillermo del Toro form “The Three Amigos” of Mexican directors who have conquered Hollywood.

But other less famous film-makers have won prizes at prestigious film festivals in Europe.

The five-year haul is impressive: Mexicans have won nine Oscars, four Golden Globes, three prizes at the Cannes film festival, two best film awards in Berlin and a Golden Lion in Venice.

But that’s not all. Production is soaring in Mexico, from 10 films made in 2000 (when Inarritu’s first film, Amores Perros, came out) to 120 per year today.

“Rather than calling it a new wave, we should talk about several waves,” says Jean-Christophe Berjon, film critic and former advisor at the Cannes film festival.

The “Three Amigos” created their own production firm, Cha Cha Cha films, in 2009.

“There is a special relationship between them, a very stimulating exchange,” says Daniela Michel, director and co-founder of a film festival in the Mexican western city of Morelia.

“They show their films to each other during editing and they sometimes produce each other’s work,” she says.

Behind this trio, who live in the United States and make Hollywood features rather than Mexican-themed movies, is another generation of promising film-makers such as Amat Escalante, who won best director at Cannes in 2013 for his drug war drama Heli.

Another Mexican, Michel Franco, won the best screenplay prize at Cannes last year for Chronic, a film about an end-of-life nurse played by British actor Tim Roth.

Roth, during a visit to Mexico in October, said the country’s film industry was going through an “incredible” period.

“I think it’s the energy; there’s a whole new group of young filmmakers whose cinematic vocabulary is extraordinary,” he said at the Morelia festival, according to US film publication Variety.

He was promoting another Mexican-made film he starred in, the drug cartel flick 600 Miles directed by Gabriel Ripstein.

Home-grown productions have soared in the past decade thanks to tax incentives, which have encouraged all sorts of companies to invest in films.

Mexican cinema enjoyed a golden era between the 1930s and 1950s, with legendary film-maker Luis Bunuel heading that generation.

But the industry went through a quiet period marked by a series of comedies panned by critics, and barely any movies were made in the 1990s.

“Short films kept Mexican cinema alive for years,” says Michel, who created the Morelia festival to encourage young film-makers.

However, Mexicans still spend more at the cinema on Hollywood blockbusters than domestic fare.

“Only one-third of films that are produced (in Mexico) come out in theatres,” Berjon says, adding that while directors like Escalante are making a name for themselves in Europe, they are not really known in their own country.

The industry is doing well even though the Mexican government is forbidden from providing aid for productions under the North American Free Trade Agreement.

But two movies managed to break box-office records in the same year in 2013 with the comedies Instructions Not Included and We Are the Nobles.

Instructions Not Included, a comedy starring popular comic Eugenio Derbez as a playboy whose life is upended when an ex-love leaves a baby on his doorstep, even broke new ground as it became the most seen Spanish-language movie in US box office history.

Agence France-Presse