Renewed mediation failed Wednesday to reach a deal after Zelaya's delegation declared that the talks had failed, after rejecting a plan put forward by Costa Rican President Oscar Arias.
The US has supported Zelaya's restoration but blasted his actions Friday at the border.
'President Zelaya's effort to reach the border is reckless,' Secretary of State Hillary Rodham Clinton said in Washington.
'It does not contribute to the broader efforts to restore democratic and constitutional order in the Honduras crisis. So we urge President Zelaya and all other parties to reaffirm their commitment to a negotiated peaceful solution, to the integrity of Honduran democracy and the safety and well-being of the Honduran people.'
Zelaya was planning to come to Washington Tuesday, US State Department spokesman Philip Crowley said Friday, but did not provide details of what he would do in the US capital, which is also the headquarters of the OAS.
Arias had suggested returning Zelaya to power under a reconciliation government but moving forward planned presidential elections from November to October. Zelaya is not currently eligible to run for re-election.
Zelaya was deposed last month by the Honduran Supreme Court, military and Congress, which charged he had been plotting to hold a national referendum that would have supported his bid for additional terms in office. Zelaya was seized in the middle of the night by Honduran troops and - still dressed in pajamas - taken by force to Costa Rica.
The OAS has suspended Honduras' membership until Zelaya, the democratically elected president, is restored to office.
Micheletti, who was first in the line of succession as speaker of the Honduran Congress, was elevated to head the post-coup government. Governments across the region have spurned relations with the Micheletti regime, citing the illegal use of the military in Zelaya's ouster instead of a constitutional removal process.