July 6 (Reuters) - Major stock markets in the Gulf edged higher in early trade on Monday as investors turned their focus to corporate earnings while also assessing U.S.-Iran developments.

There was no indication that the two sides had made progress toward a lasting peace during the indirect talks, which ended on Wednesday, with discussions instead centered on issues they said had already been settled under an interim agreement announced two weeks earlier.

Qatar's Foreign Ministry said the next meeting would be held after funeral processions for Iran's late Supreme Leader Ayatollah Ali Khamenei, who is set to be buried on July 9.

Saudi Arabia's benchmark index .TASI rose 0.2%, with Al Rajhi Bank 1120.SE gaining 0.5% and the country's biggest lender by assets Saudi National Bank 1180.SE adding 0.4%.

The kingdom's non-oil private sector grew more strongly in June, supported by the fastest rise in new business in four months, although companies continued to face intense cost pressures and softer foreign demand, a survey showed on Sunday.

Dubai's main share index .DFMGI edged 0.1% higher, helped by a 0.3% rise in top lender Emirates NBD ENBD.DU.

In Abu Dhabi, the index .FTFADGI added 0.3%, supported by a 0.2% gain in Alpha Dhabi Holding ALPHADHABI.AD.

The Qatari index .QSI was flat in a choppy trade, with Qatar Gas Transport QGTS.QA rising 0.8%.

Maritime trade between Iran and Qatar has resumed following an approximately five-month suspension, Iran's commercial attaché in Doha said on Sunday, according to state media.