Tokyo, Japan (BBN)-Asian shares opened mostly higher with investors hopeful that European leaders were on track to reach a deal over Greece's debt crisis.
The Greek Prime Minister, Alexis Tsipras, offered a new package of reforms to creditors - providing hope for a last-minute deal at the emergency summit meeting on Monday, reports BBC.
But, it was not clear how far the new proposal yielded to creditors' demands for more spending cuts and tax hikes.
The Nikkei was up 0.9 per cent to 20,352.26.
Shares in Honda were up 1.3 per cent despite the carmaker over the weekend confirming its eighth death linked to faulty airbags made by Takata.
In Hong Kong, the Hang Seng index was up 0.6 per cent at 26,926.67.
Markets in mainland China were closed for the Dragon Boat Festival.
In Australia, the benchmark S&P/ASX 200 was down 0.4 per cent at 5,574.50 - bucking the regional trend.
Meanwhile, South Korea's Kospi index was up 0.5 per centat 2,057.04.
BBN/SK/AD