- Shares in mainland China were among the biggest gainers on Monday.
- Stocks in other major Asian stock markets also closed higher.
- The U.S. and China are set to continue trade negotiations in Washington this week.
- Oil prices were higher in the afternoon of Asian trading hours.
Mainland Chinese shares were the biggest gainers in Asia on Monday, a day which also saw the other major stock markets in the region advance, with trade talks between the U.S. and China set to continue in Washington this week after high-level meetings in Beijing concluded last week.
The Shanghai composite jumped around 2.68 percent to close at about 2,754.36 while the Shenzhen component rose 3.954 percent to finish at approximately 8,446.92. The Shenzhen composite advanced 3.705 percent to close at around 1,440.95.
Hong Kong's Hang Seng index also gained about 1.5 percent, as of its final hour of trading.
Japan's Nikkei 225 jumped 1.82 percent to close at 21,281.85, while the Topix also advanced 1.56 percent to finish its trading day at 1,601.96. Shares of Fast Retailing, the company behind the Uniqlo chain of apparel stores, surged 3.9 percent.
Australia's rose 0.39 percent to close at 6,089.80 as most sectors saw gains. The energy subindex rose 1.57 percent as shares of the oil companies advanced. Santos traded 1.19 percent higher, Woodside Petroleum gained 2.3 percent and Beach Energy advanced 3.18 percent.
Earlier on Monday, the Australian government announced that the national parliament's computer network had been hit by an attack in February. Prime Minister Scott Morrison told parliament that "cyber experts believe that a sophisticated state actor is responsible for this malicious activity."
Despite Monday's gains, one strategist warned that the markets are "risky" at the moment.
"Look at how weak markets were on Friday, look how strong they are today. They're very volatile and this volatility that we're seeing on a day-to-day basis is actually, you know, a sign that people are not that sure what's ... going on," Mark Jolley, global strategist at CCB International Securities, told CNBC's "Street Signs."
Following a round of negotiations in Beijing last week, trade talks between the U.S. and China are set to continue in Washington this week. Both parties had reported progress following the five days of negotiations last week.
U.S. President Donald Trump, speaking at a White House news conference, said Washington was closer than ever before to "having a real trade deal" with Beijing and that he would be "honored" to remove tariffs if an agreement can be reached. He added, however, that the talks were "very complicated."
Trump also reiterated the possibility of extending the Mar. 1 deadline. Additional tariffs on Chinese goods might go into effect if Washington and Beijing fail to reach a deal by the date.
"U.S. and Chinese news are reporting slightly different rates of progress on key trade talks held on Friday and over the weekend," strategists from Commonwealth Bank of Australia said in a note.
"I think all of this is just a lot of political theater," Kim Iskyan, analyst at Stansberry Pacific Research, told CNBC's "Squawk Box" on Monday. "I think that (it) doesn't suit either party to really come to any sort of definitive conclusion anytime soon. But markets like to hear ... all the chatter."
Iskyan said the two sides would likely end up "kicking ... the whole can down the road again," adding that the deadline in early March "was kind of bogus in the first place."
The U.S. dollar index, which tracks the greenback against a basket of its peers, was at 96.773 after seeing highs above 97.3 last week.
The Japanese yen, widely viewed as a safe-haven currency, traded at 110.55 against the dollar after seeing lows of around 111 in the previous week. The Australian dollar was at $0.7155 after seeing lows of about $0.705 last week.
Oil prices were higher in the afternoon of Asian trading hours. International benchmark Brent crude futures returned to positive territory after an earlier slip, gaining 0.59 percent to $66.64 per barrel. Meanwhile, U.S. crude futures gained 0.88 percent to $56.08 per barrel.
— Reuters contributed to this report.