Both "No Promises" and "Cross the Border" were remixed and released as 12-inch singles, and while a major US pop hit would elude them until the following year, "No Promises" went Top 10 on both the Billboard Rock tracks and Dance/Club charts. "Cross the Border" did not see as much club play in the US, but was a Top 20 rock hit there.
The songs "No Promises" and "Cross the Border" were re-released as 12-inch singles, and although they didn't achieve a major US pop hit until the following year, "No Promises" did reach the top 10 on both the Billboard Rock charts and Dance/Club charts. In contrast, "Cross the Border" received less club play in the US but still became a Top 20 rock hit.