Ultimately the conclusion we must reach as humans is to continue to look further and harder because we are dealing with a paradox meaning it can't truly be solved. The universe is infinite so it doesn't really help us there.
The best hopes for finding life outside the universe:
- Finding simple single celled organisms. This doesn't directly deal with the Fermi Paradox or The search for extra-terrestrial intelligence (SETI) but it would go a long way to changing perception on earth.
- Looking for water (hopefully liquid), an atmosphere and heat. Microorganisms are able to deal with extreme heat much better than extreme cold.
- Discovering more and more earth like planets. New discoveries are happening almost routinely from NASA and SETI.
- Developing more advanced technology to study distant planets from our solar system.
Potential Planet catalog in ~25 years: