The plane's pilots are waiting to consume fuel before landing in the same airport, according to the statement, which added that Lula is expected to use a different plane to return to Brazil.
Lula made an official visit Mexico to attend Claudia Sheinbaum's presidential inauguration on Tuesday.
Brazilian news outlet Metropoles said the plane carrying Lula was still in Mexico's airspace,Reuters reported.
Brazil's presidential airplane is a 20-year-old Airbus A319 purchased by Lula in 2004 during his first term, which was nicknamed "Aerolula" and has since also transported former Presidents Dilma Rousseff, Michel Temer and Jair Bolsonaro.