The NFL announced the fine less than two hours after the Giants wrapped up their 45-minute session. Umenyiora did make it to a team meeting on time right after the session, according to the source.
Giants spokesman Pat Hanlon told The Associated Press that Umenyiora would practice and confirmed that he was in meetings.
Umenyiora boarded the team bus for practice Wednesday. The Giants said Umenyiora told the league this morning's absence was due to a scheduling issue.
Giants defensive tackle Jimmy Kennedy, who felt sick Wednesday morning, also boarded the bus for practice.
"Matt Light, please get well soon," Umenyiora said Tuesday. "I hope to see you on Sunday. You are one of my greatest friends."
The Associated Press contributed to this report