It would be pretty difficult to do a one-body-part-per-day routine as well as a full-body workout in the same week, if you stick to a strict '1-body-part-per-day" split. Chest, back, shoulders, biceps, tricps, legs take up 6 days all by themselves, so there would be no room for a full-body workout (very unwise to do it on day 7, meaning you'd work one body part two days in a row).
Instead, you could do an 'almost one body part per day,' giving the larger muscle groups a day of their own, and combining smaller muscle groups. Something ike this:
Day 1: back
Day 2: chest
Day 3: legs
Day 4: shoulders and arms
Day 5: off or cardio
Day 6: full body workout
Day 7: off
Or, you could forget the traditional 7-day week and just rotate through workouts like this:
Day 1: back
Day 2: chest
Day 3: legs
Day 4: shoulders
Day 5: biceps
Day 6: triceps
Day 7: off (off from weight training, but cardio would be fine)
Day 8: full body
Day 9: off
Then start oer on day 10
You could also combine biceps and triceps in one workout, since they are the smallest muscle groups and don't need as much time dedicated to them as larger muscle groups (and they get worked with other muscles as well), which would give you an 'eight-day week'.
HTH!