One policy under increasing implementation and discussion is a “remain in Mexico” approach to asylum seekers.

In contrast to US/Canada where there is a safe country agreement, there is not that specific agreement with Mexico. Under terms of the US/Canada accord, asylum seekers must make their claims at the first safe country they encounter. For example, asylum seekers who crossed Canada to the US could be returned to Canada (or similarly those traversing the US to get to Canada).

Canada–United States Safe Third Country Agreement - Wikipedia

en.wikipedia.org

The US has pushed Mexico for a similar agreement. While not formally established, there may be some informal understandings including negotiations December 2018 and recent tariff blackmail episode

US calls off tariffs after Mexico expands controversial asylum programme

Asylum seekers will spend time in cities known for drug-cartel kidnappings

The Irish Times

In January, the US started a pilot program

President Trump Wants Asylum Seekers to Stay in Mexico. Here's How That Would Work

The actual policy is still unclear

TIME

Despite appeals, most are denied when citing violence in Mexican border cities

Exclusive: Asylum seekers returned to Mexico rarely win bids to wait in U.S.

Over two hours on June 1, a Honduran teenager named Tania pleaded with a U.S. official not to be returned to Mexico.

Reuters

Those waits could be as long as a year

They Were Told 45 Days. Now Asylum-Seekers Are Being Forced To Wait Up To A Year In Mexico.

"I don’t know how we’re going to be able to afford to stay in Juárez for that long," a father of three said. "It’s dangerous here for migrants."

BuzzFeed News

Lawsuits were filed and a district court briefly halted the policy for a few days in April. However, the 9th district could allowed it on appeals

10,000 asylum seekers sent to Mexico under controversial policy - Home - WCBI TV | Telling Your Story

10,000 asylum seekers sent to Mexico under controversial policy from Home - WCBI TV | Telling Your Story

Home - WCBI TV | Telling Your Story

Seems to affect migrants arriving in San Diego, El Paso and Calexico

Heat and violence pose twin threats for asylum-seekers waiting at border

For Central American migrants who follow U.S. government rules for pursuing asylum, conditions on the Mexican side of the border are unsafe and not getting better.

NBC News