But Democrats maintained they already have a deal for $1.6 billion in border security.
Ebrard told reporters Tuesday a key administration goal is securing a USA commitment to development projects in Honduras, where the vast majority of the migrants in the caravan come from, as well as neighboring Guatemala, El Salvador and elsewhere in Central America.
U.S. authorities made 69 arrests Sunday.
"Entering our country illegally, particularly over our walls is not only unsafe, but also very foolish", Scott said in the statement.
'I don't do anything. just for political gain, ' he said.
Critics denounced the action by border agents as overkill, but Trump kept to a hard line.
Most were dispirited after the US agents fired tear gas on the group of migrants trying to cross into the USA on Sunday.
Mr Trump's defence of the federal agents' actions comes after the United States president denied armed forces had used tear gas against children - despite photos and videos showed people, including families and children, running and screaming from a cloud of tear gas.
"The first thing I did was grab my children", said Meza.
While President Donald Trump on Saturday tweeted details of an alleged deal that would have Mexico house the migrants while their asylum claims were adjudicated in the US, a Mexican official later disputed an agreement was in process despite an earlier confirmation the deal was on.
"We didn't. We don't use it (tear gas) on children", he said.
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"It's a term that's used because, as you know, many people, it's a very violent, frightful thing, but they feel they have an advantage when they're with a young child, and they call them grabbers".
Customs and Border Protection Commissioner Kevin McAleenan said, per protocol, the decision to fire was made by agents on the scene using their professional judgment, and also per protocol the incident will be reviewed.
At times, such responses can involve "less lethal capabilities crossing the border", he said, adding that wind may blow gas in various directions.
Citing fears for their children's safety, the parents bought their own lock and chain and closed the school's gates.
The debate is being carried out as a caravan of Central American migrants at the US-Mexico border has been making headlines.
The Northern Command statement released Sunday did not further outline troop involvement, but said military personnel "will not be conducting law enforcement functions, but are authorized to provide force protection for Customs and Border Protection personnel and help make sure CBP personnel can perform their assigned federal functions".
Cindy Martinez of San Vicente, El Salvador, said she had been about to cross the concertina wire to the US side when the tear gas was launched.
Officials also reported more interest from migrants wanting to start the process of staying in Mexico.
The incident at the San Ysidro crossing marked an escalation of tensions that have been mounting since groups of Central American migrants began arriving in Tijuana a few weeks ago on their journey to attempt entry into the United States.
But it's also possible that Sunday's clash was borne of increasing desperation caused by the hardening of the policies, said Rachel Schmidtke, program associate for migration at the Woodrow Wilson International Centre for Scholars Mexico Institute.