CON FIN SVC on a credit report: finance company loan
CON FIN SVC is probably a loan from a finance company: on reports, "FIN" usually stands for finance or financial.
How to find out which company reported CON FIN SVC
Your free report at AnnualCreditReport.com shows the full name and address of whoever reported CON FIN SVC; our guide to identifying a creditor covers the other ways to find out.