Usage patterns
〈事〉に熱意を持つto have enthusiasm for something
He approaches his work with real enthusiasm.
〈事〉に熱意を示すto show enthusiasm for something
She showed strong enthusiasm for the project.
熱意にあふれるto be overflowing with enthusiasm
The new employee was full of enthusiasm.
熱意が伝わるfor one's enthusiasm to come across (to others)
His enthusiasm came through in his speech.
熱意を込めて〈動詞〉to do something with enthusiasm
She explained it with great enthusiasm.