Mexico's President and President Donald Trump have agreed to meet in the near future, a statement from Enrique Pena Nieto's office said.
Speaking on the telephone on Saturday, Pena Nieto told Trump the country wants an open dialogue with their northern neighbours, the statement said.
Both leaders expressed confidence that it would bring good results for both countries, it added.
Mexican drug lord Joaquin "El Chapo" Guzman has been extradited to the US.
Guzman - Mexico's most notorious cartel kingpin - is believed to have arrived in New York on Friday morning.
In a short statement, the US Justice Department said Guzman was taken to the "United States to face criminal charges in connection with his leadership of the Mexican organized crime syndicate known as the 'Sinaloa Cartel.'"
He faces charges of drug trafficking and other charges.
Guzman has twice made brazen prison escapes and spent years on the run as the country's most wanted man.
He was recaptured a year ago after escaping from a second maximum-security prison through a tunnel dug to his cell.
He had fought extradition since then.
New York is one of several US jurisdictions where Guzman faces charges.
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The death toll in the explosion at a fireworks market in Mexico has risen to 32.
A three-month-old boy and a 12-year-old girl are two of seven children killed in the blast that ripped through San Pablito Market in Tultepec.
Five people remain in hospital with life-threatening injures said Health Secretary Cesar Gomez Monge of Mexico State where the market was located.
Among the injured are 10 children, including one girl with burns to over 90 per cent of her body.
At least 70 people were injured in the blast people and 46 remain in hospital.
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