Sept 29 (Reuters) - Copper prices rose on Tuesday, although gains were capped as a steady U.S. dollar made greenback-priced metals less attractive to holders of other currencies.

Three-month copper on the London Metal Exchange rose 0.3% to $6,589 a tonne by 0305 GMT, easing from a gain of as much as 0.8% earlier in the session.

The most-traded November copper contract on the Shanghai Futures Exchange edged up 0.2% to 50,990 yuan ($7,474.57) a tonne.

"LME copper opened higher due to Comex prices extending gains even after the LME closed, but LME copper has been giving up (some of) the gains. There's some U.S. dollar tightness this morning," said a metals trader based in Singapore.

The dollar was steady against a basket of currencies on Tuesday as traders looked out to the first U.S. presidential debate and developments on the U.S. stimulus bill.

FUNDAMENTALS

* LME aluminium rose 0.3% to $1,779.50 a tonne, while nickel fell 0.2% to $14,475 a tonne. ShFE aluminium climbed 1.4% to 14,170 yuan a tonne and lead advanced 2.3% to 15,150 yuan a tonne.

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MARKETS NEWS

* Asian markets largely opened higher, building on newfound momentum after bargain hunters helped a recovery in U.S. markets in the wake of last week's selloff.

DATA/EVENTS (GMT, Sept)

0900 EU Consumer Confid. Final

1200 Germany CPI Prelim YY

1200 Germany HICP Prelim YY

1400 US Consumer Confidence

PRICES

Three month LME copper

Most active ShFE copper

Three month LME aluminium

Most active ShFE aluminium

Three month LME zinc

Most active ShFE zinc

Three month LME lead

Most active ShFE lead

Three month LME nickel

Most active ShFE nickel

Three month LME tin

Most active ShFE tin

ARBS ($1 = 6.8218 yuan) (Reporting by Mai Nguyen; editing by Uttaresh.V)