Cromer said both sales had already being under negotiation and were not the result of the Airbus venture.
State-owned EgyptAir signed a letter (LOI) of intent on Tuesday to order 12 Bombardier CSeries jets valued at $1.1 billion at list prices.
Bombardier is closing in on the second deal for its CSeries jet since reaching a landmark agreement with Airbus a few weeks ago that will see the European planemaker take control of the program to help revive the plane's fortunes. That would raise the number of firm C Series orders to more than 400. The agreement announced at the Dubai Airshow includes 12 CS300 aircraft with purchase rights for an additional 12 aircraft.
"Bombardier's 20-year market outlook foresees demand for 450 airplanes in the 60- to 150-seat category for the region and this letter of intent confirms the need for right-sized aircraft in the Middle East", said Cromer.
"It would be hard to wish for a better carrier to establish our presence in the region", Bole said in a conference call with reporters from Dubai.
EgyptAir intends to buy up to 24 of Bombardier's C-Series planes, the aerospace firm has said.
Bombardier has faced a series of problems over the plane, most recently a trade dispute in the U.S. that imposed a 300% import tariff.
Colin Bole, Bombardier's senior vice president of commercial aircraft, said there were no particular conditions or terms that needed to be met to finalize the deals. A U.S. trade commission will decide in early 2018 on whether to impose duties of almost 300 percent on the planes as urged by the U.S. Commerce Department.