HONG KONG, Dec 21 (Reuters) - Asian stocks rose on Tuesday, shrugging off a bruising Wall Street session, as Chinese markets cheered Beijing"s push to help troubled property firms, although surging cases of the Omicron coronavirus variant persist as a worry for investors. U.S. stock indexes retreated more than 1% as positive COVID-19 case counts rose and President Joe Biden"s social spending and climate bill hit a significant setback. read more The negative mood brightened somewhat in early Asian hours with U.S. stock futures up and some assets battered in Monday"s selling finding buyers, although volumes were thin heading into end-of-year holidays. MSCI"s broadest index of Asia-Pacific shares outside Japan (.MIAPJ0000PUS) was up 0.4%. Japan"s Nikkei (.N225) rose 1.79% as investors bought into Monday"s heavy selloff while Australian stocks (.AXJO) were up 0.47%. While the global shares rout appeared to pause, investors are still concerned about Omicron risks. "COVID remains a threat to the global economy. Initial evidence suggests the Omicron variant is more transmissible but results in less severe illness compared to previous variants," economists at CBA wrote in a note. In China, the blue-chip CSI300 index (.CSI300) was 0.37% higher while the Shanghai Composite Index (.SSEC) rose 0.46%, with real estate developers leading gains. The moves higher come as China reportedly urged large private and state-owned property companies to acquire real estate projects from troubled developers to reduce risks that mounting debt piles will destabilise the economy. read more Hong Kong"s Hang Seng index (.HIS) opened up 0.56%. On Monday, the Dow Jones Industrial Average (.DJI) fell 1.23%, the S&P 500 <.SPX lost> 1.14% and the Nasdaq Composite (.IXIC) dropped 1.24%. Europe"s main indexes also sold off after British Prime Minister Boris Johnson said he would tighten coronavirus curbs if needed, after the Netherlands began a fourth lockdown and others in the region considered Christmas restrictions. read more Early Tuesday, the dollar index , which tracks the greenback against a basket of currencies of other major trading partners, was down at 96.512. The yield on benchmark 10-year Treasury notes rose to 1.4225% compared with its U.S. close of 1.419% on Monday. The two-year yield , which rises with traders" expectations of higher Fed fund rates, touched 0.6297% compared with a U.S. close of 0.63%. Oil prices started to recover from concerns the spread of the Omicron variant would crimp demand for fuel and signs of improving supply. U.S. crude ticked up 0.71% to $69.1 a barrel. Brent crude rose to $71.9 per barrel. Gold was slightly higher. Spot gold was traded at $1791.32 per ounce. Additional reporting by Alun John and Junko Fujita; Editing by Sam Holmes