In afternoon trading in New York, the Standard & Poor's 500 Index fell 0.26 per cent while the Nasdaq Composite Index dropped 0.44 per cent. The Dow Jones Industrial Average gained 0.05 per cent.
Meanwhile, President Barack Obama today warned Congress that a refusal to lift the US debt ceiling would hurt the economy and could send markets "haywire".
"It would be a self-inflicted wound on the economy," Obama said at a news conference.
Federal Reserve Chairman Ben Bernanke is set to speak later today at the University of Michigan.
In Europe, the Stoxx 600 Index finished the session with a 0.4 per cent drop from the previous close. The UK's FTSE 100 also declined, closing 0.2 per cent lower. However, France's CAC 40 eked out a gain of just under 0.1 per cent, and Germany's DAX rose 0.2 per cent.
While investors and European Union leaders alike agree that the sovereign debt crisis has abated, there are still plenty of signs of struggle ahead. Industrial production in the euro zone unexpectedly fell in November, sliding 0.3 per cent from October, according to the European Union's statistics office.
Investors are gearing up for further government debt auctions this week.
Spain said it will auction bonds maturing in 2015, 2018 and 2041 on January 17, while Italy said it will sell a new 15-year benchmark security for the first time in two years, according to Bloomberg.
Shares of TNT Express sank 41 per cent after United Parcel Service decided to drop its plans to take over the company after EU officials told it that the deal would be blocked.