July 7 (Reuters) - Major Gulf stock markets were mixed in early trading on Tuesday, as investors awaited signs of upcoming corporate earnings, amid falling oil prices and renewed tensions between the United States and Iran.

US President Donald Trump said on Monday that the United States would either make a deal with Iran or "finish the job," renewing the possibility of military action at a time when Tehran is defiant following the funeral of the late Supreme Leader Ayatollah Ali Khamenei.

Axios, citing US officials, reported that Iran’s Revolutionary Guard fired at least two missiles at commercial vessels crossing the Strait of Hormuz on Monday evening.

The website quoted a US official as saying that two commercial vessels sustained significant damage, but there were no casualties.

The Saudi index fell 0.2 percent, affected by a 1.7 percent decline in shares of Saudi Arabian Mining Company (Ma'aden).

On Monday, Saudi Arabia, the world's largest oil exporter, set the official selling price for its flagship Arab Light crude to Asian buyers for August at $1.50 per barrel below the Oman/Dubai average, a reduction of $11 from the previous month. Prices for the kingdom's other four crude grades were also cut by $11 per barrel.

However, shares of Saudi Aramco, the giant oil company, rose 0.2 percent.

Oil market traders said other suppliers in the Gulf have also cut their prices to attract demand, and that the exemption from sanctions on Iranian oil sales is intensifying competition among sellers.

They added that loading crude oil from within the Gulf still involves risks given the fragile agreement between the United States and Iran, which reduces the incentive to buy.

In Abu Dhabi, the index rose 0.1 percent.

The index in Dubai rose 0.1 percent, supported by a 1.4 percent increase in shares of Emirates Integrated Telecommunications Company (du).

The Qatari index fell 0.4 percent, with shares of Qatar Islamic Bank declining by one percent.