Are there rules regarding inheritance of property in Catholicism?
For example, can a non-Catholic inherit property from a Catholic according to the Catholic faith?
No there aren't [searched Canon Law, CCC, and Google] and one would expect this to be the case from this particular scripture:
The Parable of the Rich Fool
13 One of the multitude said to him, “Teacher, bid my brother divide the inheritance with me.” 14 But he said to him, “Man, who made me a judge or divider over you?”