Gold prices traded in a narrow range on Tuesday, hovering close to a recent two-month low, as optimism over a U.S. debt ceiling deal and reduced bets for a pause in the Federal Reserve's rate hike policy in June dented the metal's appeal.

Spot gold was flat at $1,945.19 per ounce by 0253 GMT. U.S. gold futures were listless at $1,944.10.

U.S. President Joe Biden said on Monday he feels good about prospects for passage by Congress of the debt ceiling deal that he reached with House of Representatives Speaker Kevin McCarthy.

The high volatility events such as the U.S. regional banking crisis, and whether or not an agreement would be reached on raising the U.S. debt ceiling are now passing, "reducing the markets interest in gold as investors seek alpha," Michael Langford, director at corporate advisory AirGuide said.

Fed officials on the other hand have in recent days turned up the heat with a hawkish outlook on interest rates, and that has to some extent also offset safe-haven flows around the U.S. debt ceiling situation as higher interest rates dull the appeal for zero-yield bullion.

Having navigated the financial crisis of 2008, Minneapolis Fed President Neel Kashkari worries about systemic risks. But now, as a U.S. monetary policymaker, he worries even more about inflation.

"If later in the year a more dovish approach is taken, this then implies some level of easing of interest rates may occur, which will be seen as bullish for equities and also reduce the desire for investors to hold gold versus other more risk on asset classes," Langford noted.

Markets are now pricing in a 42.7% chance of the Fed keeping rates on hold in June.

Spot silver fell 0.2% to $23.15 per ounce, while platinum rose 0.8% to $1,032.54, and palladium gained nearly 2% to $1,443.12.

(Reporting by Arundhati Sarkar in Bengaluru; Editing by Subhranshu Sahu and Sherry Jacob-Phillips)