Greece offered economic reforms in exchange for the last payment of €7.2bn from the current aid programme, without which it will not be able to make a €1.5bn repayment to the IMF.

Japan's Nikkei 225 index rose over 1% to as high as 20,677.58

That is highest level since April 2000.

The dollar was firm, a positive development for Japanese exporters, trading at 123.38 yen, compared with 122.73 yen on Monday.

Shares of Toshiba were down after a local report that its semiconductor and personal computer businesses were affected by accounting problems, and would likely lead the tech firm to revise down its profit further.

In China, the Shanghai Composite was down 1.4% at 4,416.12- reopening on Tuesday after a public holiday the previous day.

The benchmark index saw its worst weekly performance since 2008 last week, plunging over 6% on Friday.

Hong Kong's Hang Seng index was down 0.1% to 27,061.06.

In Australia, the benchmark S&P/ASX 200 was up 1.3% at 5,680.50 - leading Asia's gains.

Investors ignored data that showed that home prices in major cities in the first quarter rose 1.6% from the previous one, below expectations of a 2.3% rise.

South Korean shares were also higher with the Kospi index up 1.2% to 2,079.77.

Source: BBC