Honduran Chancellor Mireya Agüero Corrales instructed the Honduran Embassy in Washington to work on the proposal, Tercero said.
Children without parents have been streaming across the Mexico-United States border. Most of them are from Honduras, Guatemala or El Salvador.
Many have been smuggled north without official papers and hope to find their parents or family members already living in the United States. The ones apprehended by American authorities are often warehoused in shelters.
U.S. authorities estimate that between 60,000 and 80,000 children without parents will cross the border this year.
Corrales said she'll urge the United States to make efforts to unite the children with families in the United States.
"If we are talking of the principle of family reunification, why not reunite them in the United States?" she said, according to a press release issued by Tercero.