The investigation continues, Laredo Police said.
The incident occurred in March of 2017 near the border town of Calexico, California.
An agreement between the USA government and Mexico clearly states that any Mexican citizens suspected of crossing the border illegally must be processed at a Mexican consulate, NBC News noted.
"All of this is through the consulate", one Mexican official says.More news: Little light snow, rain around Monday night, Tuesday morning
In a later exchange, the USA and Mexican officials debated whether the man was truly Mexican, and one of the U.S. agents admitted he wasn't certain.
He explained the precise timeline of the deaths is still being figured out, and he didn't answer a reporter's question as to whether Burgos-Aviles had previously faced domestic violence allegations, or internal issues as part of Border Patrol.
Mexican official: He's repatriated, he's [inaudible] another place.
"Well, I think he's Mexican".
"As ridiculous as it sounds, the laws of our country do not easily allow us to send those crossing our Southern Border back where they came from", Trump tweeted on April 2.More news: Samsung Galaxy S9+ And Galaxy S9 Receives A New Version In India
"You don't even know if he's Mexican or not", the Mexican officer says, insisting that the U.S. agents must follow protocol.
USA agent: He looks like it.
According to NBC News, the U.S. agents left the man in a park on the USA side of the border.
In a recent high-profile case involving the deportation of a recipient of DACA, a federal program that has allowed children brought into the US illegally by their parents to remain, Juan Manuel Montes, 23, claimed he was forcibly returned to Mexico by CBP agents in the middle of the night.
"In the video, our actions were not consistent with our normal procedures".More news: Seahawks announce preseason schedule - part of it, anyway
This is an "isolated incident", a CBP spokesman told NBC News. "Corrective action was taken to ensure all our agents understand their responsibilities of adhering to established processes, practices, and policies".