This is the 1637th most frequent Russian word.
всемирного
"Всемирного" means "worldwide" or "universal."
In this sentence, 'всемирного' relates to cooperation on a worldwide scale, highlighting the global aspect.
Мы говорили о значении всемирного сотрудничества.
We talked about the importance of global cooperation.
Here, 'всемирного' is used to describe the significance of the events as being relevant to the entire world.
Эти события имеют всемирного значения.
These events have global significance.
In this instance, 'всемирного' is part of the name of an internationally recognized day, indicating its worldwide observance.