KYIV, Oct 29 (Reuters) - Ukraine will make a third attempt to sell state-run United Mining and Chemical Company (UMCC), Europe's largest titanium and zirconium miner, on Dec. 20, the state property fund said on Friday.

Earlier on Friday, the fund cancelled a privatisation auction scheduled for Oct. 29 due to the lack of participants. The same had happened in August.

"The state property fund received two applications for participation in the auction... one of which does not meet the requirements of current legislation," the fund said in a statement.

The fund has said the starting price for 100% of UMCC had been set at 3.7 billion hryvnias ($140 million) .

UMCC is among the top 10 global miners of titanium and zirconium ores and its global market share was 2.3% for ilmenite, 6.2% for rutile and 1.4% for zircon in 2020, according to Ukrainian officials.

UMCC provides raw materials that have a wide range of uses including steelmaking, glassmaking and traditional ceramics, with titanium also used as an important alloying agent.

($1 = 26.2992 hryvnias) (Reporting by Pavel Polityuk and Natalia Zinets; Editing by Sam Holmes)