Taiwan carrier EVA Air, which already is buying Boeing 777-300ERs, is considering the Boeing 777X and Boeing 787-10.

“Both types are on our shopping list, and we are waiting for Boeing to reveal more information with respect to the 787-10 and 777X when the programs are launched,” EVA’s top management says in a statement in response to a query from Aviation Week.

The statement also says EVA is considering ordering Boeing 777 freighters as a replacement for the airline’s Boeing MD-11Fs and Boeing 747-400 aircraft, “though the downturn in the global air cargo market is not supporting a decision to enter into orders with the manufacturer at present. The global air cargo business continues to face difficulties, with demand for air freight falling in 2012’s fourth quarter. Yields are on a continuing downward trend, oil prices remain high and demand for air cargo remains soft.”

Besides being Taiwan’s second major passenger carrier, EVA also is one of the world’s largest air cargo operators. According to the Aviation Week Intelligence Network fleets database it has 60 passenger and cargo aircraft. Types include the 747-400, Airbus A330, Boeing 777-300ER, MD-11F, MD-90 and Airbus A320-family.

EVA management says in its statement that the MD-90s will be gradually phased out, starting next year until 2016, and that during that same time-frame it hopes to phase out of the majority of its 747-400s.