The Pakistani rupee strengthened against the US dollar, appreciating 0.09% during the opening hours of trading in the inter-bank market on Tuesday.
At 10am, the currency was hovering at 280.56, a gain of Re0.25 against the greenback.
On Monday, the local unit closed at 280.81.
Globally, the safe-haven yen hit its lowest since February on Tuesday while riskier currencies were firm against the dollar, as traders anticipated an end to the US government shutdown in the coming days.
The euro was steady at $1.1555, and sterling has been creeping higher to $1.3165.
The US Senate passed a deal that would restore US federal funding and end the longest shutdown late on Monday.
It now heads to the House, where Speaker Mike Johnson has said he would like to pass it as soon as Wednesday and send it on to President Donald Trump to sign into law.
A gain of about 0.7% for the Australian dollar to $0.6536 and a drop in the yen have been the biggest moves since a breakthrough Senate vote on Sunday.
Analysts said the moves could be vulnerable to reversal if the path to inking the shutdown deal dragged much beyond this week.
The New Zealand dollar has been under pressure for months as the economy slows and had on Tuesday hit a 12-year low against the Australian dollar, reflecting a divergent outlook for interest rates in the Antipodes.
Oil prices, a key indicator of currency parity, Oil prices dipped in Asian trade on Tuesday as oversupply concerns outweighed uncertainty over the impact of US sanctions on Russian oil majors Rosneft and Lukoil and optimism over progress toward reopening the US government.
Brent crude futures fell 12 cents, or 0.2%, to $63.94 a barrel by 0426 GMT. US West Texas Intermediate crude was at $59.99 a barrel, down 14 cents or 0.2%.
Both benchmarks gained around 40 cents in the previous session.
This is an intra-day update
American Dollar Exchange Rate