Barack Obama

Monday's meeting in Washington DC was Mr Obama's first with a foreign leader since his election in November.

His transition office said the talks highlighted the importance of the relationship between the US and Mexico.

Mr Obama, who will be sworn in on 20 January, will make his first foreign trip to Canada, officials have said.

No date has been set but officials indicated it would be "soon" after Mr Obama takes office, restoring a long-standing tradition that Canada is the first destination for a new US president.

"It will be the first foreign trip of his presidency, underscoring the importance of the relationship between the United States and Canada," said Brooke Anderson, a transition spokeswoman.

Canada is the US's biggest trading partner, followed by China, and then Mexico.

After joining Mr Calderon for a lunch of tortilla soup, Mr Obama said his administration was "going to be ready on day one" to work to build stronger relations with Mexico.

Their meeting at the Mexican Cultural Institute included discussion on efforts by the Mexican government to tackle the drugs gangs that have seen more than 30,000 troops deployed since 2006.

There were more than 5,000 drug-related murders there last year, with many of the deaths in cities just across the border from the US.

In December, the US justice department said Mexican drug traffickers posed the biggest organised crime threat to the US.

Mr Obama has previously praised Mr Calderon's stance and supports a multi-million dollar aid package known as the Merida Initiative to help Mexico in the fight against illegal drugs.

He has also spoken about the need to address not only the flow of drugs north but the smuggling of guns from the US to Mexico.

"The friendship between the US and Mexico has been strong," he said. "I believe it can be even stronger."