be, seem

almost
These problems were almost bound to arise.

be, feel
become
remain
hold sb
The country will not be held bound by a treaty signed by the previous regime.

absolutely
irrevocably
by law, contractually, legally
Officials are bound by law to investigate any possible fraud.
He was legally bound to report them to the authorities.

morally
I felt morally bound to report the incident.

by
We are legally bound by this decision.

be

homeward, outward

for
tourists who are bound for Europe

be
become

closely, intimately
inevitably, inextricably
together
A person's name and their sense of their own identity are often closely bound up together.

with
From that moment my life became inextricably bound up with hers.

Bound is used with these nouns:
copy, notebook, volume