Good question Toasty.
The example of Philemon comes to my mind. To import that into your scenario...The 'crime' here was Onesimus, the slave, running away from Philemon, his master. If it were ok for Onesimus to simply go on his way, then Paul would not have sent him back to Philemon. Confession and repentance on part of Onesimus (inferred from him being a "beloved brother" (vv.16)) was part and parcel of his return to Philemon.
In my mind that example shows a convert recognising the error of his ways, and returning to 'face the music' for his actions.