When is the safe period to have sex without condom between menstrual cycles?

Totally safe? Right before ur period possibly the safest but not 100%.
When it is SAFER... You can get pregnant any time during your cycle, but the chance is highest during/around 14 days before your menstrual flow. So couple days before, during, and couple of days after the period is less risky. During your period should be the lowest risk time...Learn about your cycles, consult doc...Have fun and good luck.