1. US Secretary of State Rex Tillerson and Mexican foreign Minister Luis Videgaray walking to lecterns
2. SOUNDBITE (Spanish) Luis Videgaray, Mexican Foreign Minister:
"We have expressed to Secretaries (Rex) Tillerson and (John) Kelly, first of all, our concern for the respect of the rights of Mexicans in the United States - particularly (referring to) human rights. And we have heard a profound coincidence from the part of the secretaries, which is an encouraging sign that this very important matter will be channeled in keeping with the mechanics of work and dialogue that we must continue building."
3. Tillerson and Videgaray at the podium
4. SOUNDBITE (English) Rex Tillerson, US Secretary of State:
"We recognize the existing US-Mexico cooperation to curtail irregular migration both by securing Mexico's southern border and by supporting efforts of Guatemala, Honduras and El Salvador, through the Alliance for Prosperity, to reduce violence and stimulate opportunity in the region. On this issue we discussed the importance of fair treatment of all of those in this transit."
5. Tillerson and Videgaray at the podium
6. SOUNDBITE (Spanish) Osorio Chong, Mexican Minister of the Interior:
"We stated our disagreement on some of the recently announced measures by the Department of the Interior of the United States which have direct implications for our country and our countrymen. In particular, we have shared our worries at an eventual rise in deportations and the possibility that citizens of other countries may be returned to our national territory until their legal situations (asylum in US) are resolved."
7. Chong and Kelly at podiums
8. SOUNDBITE (English) John Kelly, US Homeland Security Secretary:
"There will be no, repeat, no mass deportations. Everything we do in DHS will be done legally, in accordance to human rights in the legal justice system of the United States. All deportations will be according to our legal justice system."
9. Tillerson shaking hands with Foreign Minister Videgaray
Seeking to tamp down growing unease in Latin America, US Homeland Security Secretary John Kelly pledged Thursday that America won't enlist its military to enforce immigration laws and that there will be "no mass deportations."
Only hours earlier, President Donald Trump suggested the opposite. He told CEOs at the White House the deportation push was a "military operation."
Kelly, speaking in Mexico's capital, said all deportations will honour human rights and follow the U.S. legal system. He said that includes multiple appeals offered to those facing deportation.
Kelly said the U.S. approach will involve "close coordination" with Mexico's government.
Yet while Kelly and U.S. Secretary of State Rex Tillerson tried to alleviate Mexico's concerns, Trump was fanning them further with tough talk about "getting really bad dudes out of this country at a rate nobody has ever seen before."
It was an altogether different message and tone from Kelly and Tillerson, who travelled here to meet with top Mexican officials at a time of intense turbulence for U.S.- Mexico relations.
Indeed, Trump acknowledged he had sent his top diplomat south of the border on a "tough trip."
In contrast to Trump, Tillerson and Kelly focused on what they described as a solid U.S. commitment to work closely with Mexico on border security, illegal immigration and trafficking of drugs and weapons â€” issues Trump has made a central focus of his young presidency, much to Mexico's dismay.
Both Tillerson and Kelly appeared to downplay any major rift between the U.S. and Mexico.
For Mexico, that patience appeared to be running short.
Mexico has been incensed that the U.S. announced â€” without Mexico's sign-off â€” that people caught crossing the border illegally will be sent back to Mexico â€” even those from third countries who have no connection to Mexico.
Interior Secretary Miguel Angel Osorio Chong, Kelly's Mexican counterpart, said that concern had come up, too.
Both countries said it was positive that the neighbours remained committed to working through the disputes diplomatically, though there were no indications they were any closer to a resolution.
As the Americans wrapped up their Mexico visit, they remained at odds with their hosts over the deportations and over the massive border wall Trump has vowed to construct at Mexico's expense.
Trump spoke during the presidential campaign about using a "deportation force," and his Homeland Security Department at one point considered using the National Guard to help with deportations, although the White House has said that idea has been ruled out.
The Homeland Security Department didn't immediately respond to requests to clarify why Trump's remark about "a military operation" had conflicted with that of Kelly, who blamed the media for "misreporting."
At the White House, spokesman Sean Spicer said Trump hadn't been speaking literally. He said Trump used the "military operation" phrase "as an adjective" to describe the precision with which immigration enforcement was being carried out.
Tillerson and Kelly were meeting behind closed doors with Mexican President Enrique Pena Nieto before returning to Washington.
Pena Nieto recently cancelled a trip to Washington over Trump's insistence that Mexico pay for the wall. It has not been rescheduled.
In addition to sending border-crossers from third countries into Mexico, new memos signed by Kelly this week prioritise deportation for anyone charged or convicted of any crime, rather than just serious crimes.
That potentially subjects millions in the U.S. illegally to deportation, including many Mexicans.
Those policies have raised fears in Mexico about the possibility of deportee and refugee camps emerging along Mexico's northern border.
Mexican officials were also apprehensive that a forthcoming report ordered by Trump's administration listing all current U.S. aid to Mexico is intended to threaten Mexico into compliance over immigration or the wall.
Mexico has also raised concerns about Trump's pledge to overhaul the trade relationship and possibly apply steep taxes to Mexican products, a move with profound impacts for Mexico's export-heavy economy.
Tillerson said the leaders had agreed the trade relationship needed to be modernised and strengthened.