Hong Kong's benchmark tumbled 1% while Seoul advanced and Shanghai and Sydney were little-changed. Japanese markets were closed for a holiday.
Investor anxiety about the U.S.-Chinese tariff war eased following conciliatory gestures last week by both sides ahead of planned negotiations next month on their conflict over trade and technology.
· China stocks started the week on a soft note, though losses were limited on easing Sino-U.S. trade frictions, while bleak economic data on Monday raised hopes that Beijing will dole out more stimulus to underpin the economy.
The blue-chip CSI300 index ended down 0.4% at 3,957.72, while the Shanghai Composite Index closed flat at 3,030.75.
The slowdown in the factory and consumer sectors deepened in August, with industrial production growing at the weakest pace in 17-1/2 years, a sign of increasing weakness in an economy lashed by trade headwinds and soft domestic demand.
Analysts say they expect the latest data to lead to more cuts in key lending rates from Chinese authorities.
The pan-European STOXX 600 index fell 0.5% at 0710 GMT, with trade-sensitive German shares falling 0.6%.
Reference: Reuter, CNBC