Is it possible to restore relations with a faction?

[olegst90]

I did an assassination mission near an orbital station attracting police and as a result when I approached another starport of the faction in a different system a swarm of police vessels pounced at me. Is it possible to become friends with the faction again or it's permanent?

[impaktor]

Paying your fine to be below 300 credits should calm them down.
Murder usually carries a hefty fine of 1.5M credits.
Sounds a bit much. Perhaps this should be lowered.