The plane maker also reached an agreement at the airshow with GE Capital Aviation Services for 35 737-800 converted freighters.
AirAsia boss Tony Fernandes left Farnborough in suspense over flying in from Malaysia to confirm an Airbus A330neo order or defecting to the Boeing 787. It had inducted the first Boeing 737 Max in its fleet in June.
The firm order for 10 787s will be added to Boeing's order backlog, while the 10 purchase rights will remain as commitments.
The U.S. company ended the show Thursday after booking new business worth $79 billion from orders and outline commitments involving 528 jetliners, according to its closing statement at the trade fair southwest of London. Combined, the deals are worth $4.2 billion at list prices.
The 737 MAX is the fastest-selling airplane in Boeing history, accumulating almost 4,700 orders from more than 100 customers worldwide.
Orders for aircraft are now sat at $95.5bn, which is $23bn up on the first two days of the 2016 Farnborough Airshow.
People familiar with the matter said AirAsia was expected to reconfirm an order for 66 of the upgraded wide-body A330neo, which it had threatened to cancel in favour of Boeing's 787 in a rift between Airbus and its largest Asian customer.
However, Airbus secured orders and commitments for 431 aircraft, with a late order from AirAsia pushing numbers up yesterday morning. After considering not taking any A330s at all, the airline has committed to taking a total of 100 A330 aircraft.
Airbus meanwhile won a provisional order for 10 A320neo jets from SaudiGulf, industry sources said.
VietJet signed an MOU for an additional 100 737 MAXs. The move comes just one day after the carrier placed an order for Boeing 737s.
The world's top two airplane builders declined to name the buyers on approximately 400 deals, with Airbus citing growing trade tensions leaving certain companies nervous to side with the USA, according to Reuters.