Luis Gerardo Fonseca, director of Mexico's civil aviation agency, told Radio Formula on Monday the causes of the crash were still being investigated.
The first officer and the two flight attendants on board the plane have already given their declarations as part of the investigation, he said. Investigators were waiting to interview the captain, who is still being treated in hospital, Fonseca said.
Corboy & Demetrio said it filed six separate lawsuits on behalf of 11 passengers with the Cook County Circuit Court in Illinois.
Francis Patrick Murphy, another partner at the firm, said weather, to some extent, is always a factor in flight operations.
"However, safe flight operations depend on how the airline and its pilots monitor, respond to and correct for severe weather conditions, both in the pre-flight and inter-flight decision-making process, in order to avoid a mishap," Murphy said.