MUMBAI: The rupee fell in early trade on Tuesday, weighed by losses in domestic shares and regional peers, with month-end dollar demand from refiners and importers adding to the pressure. * At 9:07 a.m. the partially convertible rupee was at 44.46/47 per dollar, weaker than 44.39/40 at close on Monday. * Most Asian currencies eased against the dollar. * The index of the dollar against six major currencies was down 0.2 per cent and dealers said they would watch the dollar's moves for further direction during the session. * The euro edged up on Tuesday, pulling away from recent one-year lows, after investors short on the single currency rushed to cover positions, but gains were likely to be checked by on-going worries about debt-laded Greece. * Indian shares fell 0.3 per cent in early trade on Tuesday, with Reliance Industries and ICICI Bank leading the decline on weak regional markets.

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