Claudia Sheinbaum has said her “very kind” phone conversation with Donald Trump, in which they discussed immigration and fentanyl, means “there will not be a potential tariff war” between the US and Mexico.

The president of Mexico spoke to reporters on Thursday following Trump’s threat earlier in the week to apply a 25% tariff against Mexico and Canada, and an additional 10% tariff against China, when he takes office in January if the countries did not stop all illegal immigration and fentanyl smuggling into the US.

Trump, in a post on Truth Social on Wednesday, claimed that during the phone call with Sheinbaum she had “agreed to stop Migration through Mexico, and into the United States, effectively closing our Southern Border”.

During her Thursday address Sheinbaum clarified she did not agree to shut down the border.

“Each person has their own way of communicating,” Sheinbaum said. “But I can assure you, I guarantee you, that we never – additionally, we would be incapable of doing so – proposed that we would close the border in the north [of Mexico], or in the south of the United States. It has never been our idea and, of course, we are not in agreement with that.”

She added that the two did not discuss tariffs, but that the conversation with Trump had reassured her that no tit-for-tat tariff battle would be needed in future.

On Monday this week, Trump threatened to impose a 25% percent tariff on Mexico until drugs, including fentanyl, and undocumented immigrants “stop this Invasion of our Country”. He declared that Mexico and Canada should use their power to address drug trafficking and migration and, until they do, “it is time for them to pay a very big price!”

The following day, Sheinbaum suggested Mexico could retaliate with tariffs of its own.

On Wednesday, however, the conversation between Sheinbaum and Trump was “very kind”, the Mexican president said. She said she told Trump of the various migration initiatives her government has undertaken, including providing resources and support to central American countries and to migrants arriving in Mexico. Potential immigrants “will not reach the northern border, because Mexico has a strategy”, Sheinbaum said.

Trump “recognized this effort” by the Mexican government, Sheinbaum added.

She also said Trump expressed interest in the government-driven programs to address fentanyl addiction and overdoses in Mexico. And she raised the problem of American-made weapons entering Mexico from the US to be used by drug cartels.

Sheinbaum further added that she encouraged Trump to stop the blockades against Cuba and Venezuela, since “people suffer and it leads to the phenomenon of migration”.

Asked by a reporter from Rolling Stone magazine that quoted anonymous Trump-aligned sources discussing a “soft invasion” of Mexico by deploying the US military inside the country against drug trafficking groups, Sheinbaum dismissed the idea, calling it “entirely a movie”.

“What I base myself on is the conversation – the two conversations – that I had with President Trump, and then, at the moment, the communication we will have with his work team and when he takes office,” Sheinbaum said. “We will always defend our sovereignty. Mexico is a free, independent, sovereign country – and that is above everything else.”