The deal is worth around $240 million at catalogue prices, although engine orders routinely involve heavy discounts.
"The company chose General Electric. The deal was agreed at the same time that the planes were ordered last November. The planes and the engines are all part of the same contract," a company spokesman said.
Alitalia said in November it had an option on a further six Boeing 777-300ERs but had cancelled a planned order for five Boeing 747-400s and an option for another three jumbo jets.
The battle to supply 777 turbofans, the largest aircraft powerplants ever built, has been the fiercest part of the highly competitive aero-engine market.
General Electric's GE90 engine at first performed poorly in the market, but the company had a very good year in 2000, apparently securing contracts for 52 of the 117 Boeing 777s sold, against just 16 for United Technologies Corp unit Pratt & Whitney and 14 for Britain's Rolls-Royce Plc
Customers have yet to choose engines for 35 777s sold last year.
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