Reuters Market Eye - The rupee off highs on oil-related USD buying, pair at 53.78/80 after rising to 53.67, versus last close of 53.80/81.
Dealers cite heavy selling by foreign banks earlier in the session on custodial inflows.
The euro bought $1.2966, little changed from its New York close, having again found the going tough above $1.3000. It remained well within a $1.2800-1.3200 range seen since early September.