Trump told reporters he would let Mexico announce it "at the right time", but that "it goes into effect at my option".
White House officials did not immediately respond to requests for comment about Mexico's stance or to what Trump was referencing.
Nonetheless when asked about that deal on Monday, Mr Ebrard said that there had been no additional agreement with the United States and that the American president used to be possible referring to expected development in substitute following the migration deal.
President Trump also said that Mexico would soon produce "immense" agricultural purchases from the US.
Mr Ebrard said the agreement reached on Friday after days of "most hard negotiation" bought Mexico time to show it could succeed in driving down the number of migrants. The official spoke on condition of anonymity to share details of closed-door talks.
If it failed, he said, other countries would need to be drawn in to the matter.
Mr. Trump has additionally indicated he sees the fate of Huawei, the Chinese telecom big that has been blacklisted from buying for American skills, as a level of leverage within the trade talks. The declaration also reiterates the countries' commitment from previous year, which emphasizes USA support for development in Central America and southern Mexico.
"They wanted something else totally different ... to be signed", Ebrard said Monday.
Mr Ebrard said the agreement reached on Friday after days of "most great negotiation" bought Mexico time to cloak it will in all probability perchance reach utilizing down the amount of migrants.
He did not clarify what that might look like.
Given the political and economic pain that US tariffs would inflict on Mexico, the Mexican administration would have virtually no option but to retaliate if the White House followed through on its threats.
The U.S. also hailed Mexico's agreement to embrace the expansion of a program implemented earlier this year under which some asylum-seekers are returned to Mexico as they wait out their cases.
Since "Remain in Mexico" was first implemented in December 2018, USA authorities have returned more than 10,000 migrants to Mexico, according to the Mexican government.
"The president has completely overblown what he reports to have achieved".
Mexico was also taking "decisive action to dismantle human smuggling and trafficking organizations as well as their illicit financial and transportation networks", the State Department said.
Asked about the tweet, Mr Ebrard said that he thought President Trump was referring to possible regional measures to be taken in conjunction with Central American nations from which most of the migrants hail from.
President Donald Trump on Monday hinted more details were to come about a migration pact the United States signed with Mexico last week, saying another portion of the deal with Mexico would need to be ratified by Mexican lawmakers.
He has also dangled the prospect of renewing his tariff threat if the US ally doesn't cooperate to his liking.
On Friday, the tariffs were called off, after the United States and Mexico announced an agreement on immigration.
"It reflects diplomacy at its finest", Pompeo said during a news conference. He said the USA will likely have a good sense of its effectiveness in a month to 45 days.
Reaction and analysis from Fox News contributor Richard Fowler.
"We will evaluate this literally daily", the secretary said, calling the declaration "a significant win".
Trump has dangled the prospect of renewing his tariff threat if the USA ally doesn't cooperate to his liking.