Testimony concluded and brief closing arguments were made Wednesday morning in Atchison County District Court.
Judge Robert Bednar will examine evidence and testimony before making a ruling.
Bednar did not name a timetable for when the ruling will be made.
Wilson was convicted in 2001 and sentenced to life in prison, without parole for 25 years, for the March 2000 shooting of Kurt Boldridge. Boldrige was shot in the head as he slept in his rural Atchison home.
According to our reporting partner KAIR, Wilson's attorneys claim his attorney at the time did not present sufficient evidence in the case.