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The Australian share market has closed higher but failed to make strong gains after the US and China agreed to resume trade talks over the weekend.

The benchmark S&P/ASX200 index was up 29.3 points, or 0.44 per cent, to 6,648.1 points at 1615 AEST on Monday, while the broader All Ordinaries was up 32.3 points, or 0.48 cent, to 6,731.4.

The Aussie dollar is buying 69.95 US cents, from 70.14 US cents on Friday.