Mexican police abandoned a blockade allowing thousands of Central American migrants to continue their journey towards the United States on Thursday.
After leaving Arriaga, the migrant caravan reached a Mexican Federal Police checkpoint where they were informed about the government's recent offer of asylum.
Outgoing Mexican President Enrique Pena Nieto launched a programme on Friday which promised shelter, medical attention, schooling and jobs to migrants who agree to stay in the southern Mexico states of Chiapas and Oaxaca.
The group rejected the plan on Friday night in Arriaga, but have said they open to negotiations with the government, but not if their intention is to stop the caravan.
Consequently, the federal authorities withdrew their blockade and allowed more than 4,000 migrants to move towards the city of San Pedro Tanpanatepec.