Mainland Chinese stocks saw a partial recovery on Tuesday after deep losses on Monday, as investors weighed the potential economic impact of the ongoing coronavirus outbreak that has killed hundreds in China so far.

Monday's plunge had left mainland Chinese indexes diving more than 7%. By the market close on Tuesday, the Shanghai composite was 1.34% higher at about 2,783.29 while the Shenzhen component jumped 3.17% to 10,089.67. The Shenzhen composite added 1.804% to approximately 1,638.02.

Hong Kong's Hang Seng index was 1.28% higher as of its final hour of trading, as shares of Chinese tech giants Tencent and Alibaba surged 3.26% and 4.2%, respectively.

Meanwhile, Hong Kong's Hospital Authority confirmed on Tuesday morning the first coronavirus-related death in the city, a 39-year-old male.

In Japan, the Nikkei 225 closed 0.49% higher at 23,084.59 while the Topix index gained 0.69% to end its trading day at 1,684.24. South Korea's Kospi surged 1.84% to close at 2,157.90.

Meanwhile, shares in Australia saw gains on the day, with the S&P/ASX 200 up 0.37% to 6,948.70.

Overall, the MSCI Asia ex-Japan index was 1.63% higher.