The construction arm of Slim's Grupo Carso (>> Grupo Carso S.A. de C.V.) and his majority-owned FCC (>> Fomento de Construcciones y Contratas SA), submitted a bid of 84.8 billion pesos ($4.2 billion) for the project.

A consortium led by Portuguese builder Mota Engil (>> Mota-Engil) also threw its hat into the ring for the futuristic terminal with a 90.073 billion-peso proposal, while a group led by Mexico's Omega offered 87.5 billion pesos.

A winner will be announced on Jan. 6.

Reuters reported on Tuesday that Slim's group, which includes Spain's Acciona (>> Acciona SA) and Mexican firms ICA, Constructora Y Edificadora GIA+A (GIA), Promotora y Desarrolladora Mexicana (Prodemex), and the construction unit of Grupo Hermes, would compete together for the project.

A win for the group would be a shot in the arm for ICA, which fetched a $371 million deal to build a foundation for the terminal. In 2015, ICA began defaulting on interest payments as it struggled with slumping revenues and heavy debts.

Shares in the cash-strapped builder jumped 14 percent after bids were announced on Wednesday.

Designed by British architect Norman Foster and Slim's son-in-law Fernando Romero, the terminal building is slated to serve some 68 million passengers annually by the time it opens in 2020 and make Mexico City into a regional hub.

Slim was also helped by a last minute move by Spain's OHL (>> Obrascon Huarte Lain SA) to pull out of the running, following decisions by Ferrovial and Dragados to scrap bid plans as well.

Slim already bagged a stake in a $361 million contract to build a runway for the new airport in September.

(Reporting by Veronica Gomez; Writing by Alexandra Alper; Editing by Bernard Orr and Alan Crosby)