Does the time difference between Lagos and Rome change during the year?

Yes. Because of daylight saving time the gap moves between −1h and 0.

When is the best time to call Rome from Lagos?

Between 09:00 and 16:00 in Lagos, which is 10:00 to 17:00 in Rome.

Lagos is 1h behind Rome. This gap is not fixed: daylight saving time moves it between −1h and 0 during the year.

Lagos

Nigeria

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Rome

Italy

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A 9-to-5 day in each city overlaps for 7h. That is 09:00–16:00 in Lagos, which is 10:00–17:00 in Rome.

City	Time zone	UTC offset
Lagos · Nigeria	Africa/Lagos	UTC+1
Rome · Italy	Europe/Rome	UTC+2

What is the time difference between Lagos and Rome?: Lagos is 1h behind Rome. This gap is not fixed: daylight saving time moves it between −1h and 0 during the year.
Does the time difference between Lagos and Rome change during the year?: Yes. Because of daylight saving time the gap moves between −1h and 0.
When is the best time to call Rome from Lagos?: Between 09:00 and 16:00 in Lagos, which is 10:00 to 17:00 in Rome.