June 24 (Reuters) - Most major Gulf stock markets rose in early trading on Wednesday amid signs of progress in U.S.-Iran talks, though uncertainty remained over the durability of the accord.

The two countries, which concluded a first round of negotiations in Switzerland on Monday, gave conflicting accounts of key elements of the framework agreement signed last week to end the war, including financial incentives for Iran, control of the Strait of Hormuz and Israel's parallel war in Lebanon.

U.S. President Donald Trump said on Tuesday that Iran had agreed to nuclear inspections into "infinity", while Tehran denied making any such concession, raising doubts about the viability of the fragile peace deal.

Saudi Arabia's benchmark index .TASI rose 0.3%, buoyed by a 10% surge in Umm Al Qura for Development and Construction Co 4325.SE and a 5.3% jump in Jabal Omar Development Co 4250.SE.

The kingdom's real estate authority has begun accepting applications for foreign real estate ownership, it said in a statement on Tuesday, part of a push to attract foreign investment in the kingdom.

Dubai's main share index .DFMGI edged 0.1% higher, helped by a 1.2% rise in toll operator Salik Company SALIK.DU.

In Abu Dhabi, the index .FTFADGI added 0.3%.

The Qatari index .QSI was flat in choppy trade.

On Tuesday, Oman and Iran agreed to continue talks on the future management of navigation in the Strait of Hormuz. U.S. Secretary of State Marco Rubio said any attempt by Iran to impose transit fees would breach international law.