The blast was caused by a boiler in the paint shop of the factory's building in Bursa province, Anadolu news agency reported.
Turkey's president and Musk, the CEO of electric car giant Tesla, also discussed the launch of Turksat 5A-5B satellites into space.
Prime Minister Binali Yildirim is expected to discuss military and economic ties during meeting with US Vice President Mike Pence.
The Turkish Red Crescent has taken initiative to deliver letters written by Ottoman soldiers who were held captive by the British Army during World War I.
Extradition of Fetullah Gulen, detentions and business will top the agenda.
The move comes ahead of a visit to the United States by Turkey's Prime Minister Binali Yildirim.
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