This is the 1366th most frequent Russian word.
международной
"International."
The word 'международной' is used as an adjective in the instrumental singular feminine form of 'международный' to describe 'conference' as an international event.
Россия участвует в международной конференции по экологии.
Russia participates in the international conference on ecology.
Here, 'международной' modifies 'association' and characterizes the type of association as involving multiple nations or countries.
Университет является частью международной ассоциации образовательных учреждений.
The university is part of an international association of educational establishments.
The term 'международной' as part of a broader concept defines the level of coordination, showing its global nature.