Can non-Christians be saved?
John 3:16-18 is probably the strongest statement in the Bible that salvation is possible only by faith in Christ as the Son of God:
"For God so loved the world that he gave his one and only Son, that whoever believes in him shall not perish but have eternal life. For God did not send his Son into the world to condemn the world, but to save the world through him. Whoever believes in him is not condemned, but whoever does not believe stands condemned already because he has not believed in the name of God's one and only Son. (NIV, John 3:16-18)
There are a number of other verses in the Bible that suggest that God will judge different people by different standards, and salvation is more generally available than just to those with faith in Christ as Son of God (Matthew 5:43-46, Matthew 25:31-46, Luke 12:47-48, Luke 18:26-27, John 1:29-30, John 5:25-29, John 12:28-32, Romans 14:10-12, 1 Timothy 4:10, Revelation 20:11-15).
Source: http://www.twopaths.com/faq_salvation.htm#VIIIB