The FTSE 100 Index was largely flat, edging 4.6 points higher to 6576.2, despite the agreement in Washington to prevent a catastrophic meltdown that could have brought the global economy to its knees.
Uncertainty is still hanging over the nation's finances, as the deal only permits the US Treasury to borrow normally until February 7 and fund the government through to January 15.
The anxieties hit America's currency, leaving sterling to rise two cents to $1.62. The pound was flat against the euro at €1.18.
Meanwhile the expectation that a deal would be done before the deadline also played a part in the lacklustre response of global markets. Germany's Dax and France's Cac 40 were both down marginally. The Dow Jones Industrial Average in New York was also in negative territory at the close in London.
Alpari market analyst Craig Erlam said: "You could argue that investors never truly bought into the idea that the US would default in the first place, which would explain why these gains, like the losses over the last couple of weeks, have been minimal."
In London, BSkyB topped the risers board, with shares jumping 7% after the broadcaster reported a strong start to its new financial year.
BSkyB was joined at the top of the FTSE 100 risers board by SABMiller after stronger trading in developed markets such as Europe and North America helped its overall revenues rise 4% in the six months to September 30.
Shares in the world's second largest brewer, which is behind brands including Peroni Nastro Azzurro, rose 127p to 3167p.
Builders' merchant Travis Perkins fell by 2% after it said price deflation continued to impact on Wickes and fellow retail firm Tile Giant. The pair also received little benefit from the warmer summer as like-for-like sales were flat in the three months to September 30.
This offset much better trading in the company's core builders' merchant division, which grew underlying sales by 10.7%. Shares fell 29p to 1749p.
Elsewhere, Mothercare shares recovered from a weak start after it said UK like-for-like sales were 1.9% lower in the 13 weeks to October 12, with margins squeezed by the highly promotional market in home and travel products.
Shares fell by an initial 4%, but later climbed strongly as traders saw value in the stock to finish 5%, or 20.8p, higher at 413.5p.
The biggest FTSE 100 risers were BSkyB up 62p to 940p, SABMiller, easyJet 49p higher at 1328p, and Burberry up 39p to 1503p.
The biggest FTSE 100 fallers were Weir Group down 70p to 2268p, CRH off 41p to 1539p, Intertek 84p lower at 3210p, and ARM Holdings down 25p to 1005p.