Asian markets mostly rose following the US House's bill to prevent default and ahead of the Federal Reserve's next policy meeting and China's economic state. The bill will now go to the Senate. If passed, it would prevent a default that many had feared would severely damage the global economy and markets. Hong Kong, Tokyo, Shanghai, Singapore, Wellington and Manila all rose, but Seoul and Taipei struggled. Investors now await US jobs data along with concerns about China's economy, which continues to show signs of fragility.