This app was mentioned in 5 comments, with an average of 2.20 upvotes
Ubersync might be an option. I personally use the native FB app contact syncing with my xposed module XFBSync, but that requires root and the Xposed Framework.
UberSync does a great job.
playstore> "Ubersync for facebook" https://play.google.com/store/apps/details?id=ro.weednet.contactssync&hl=en