Sami, like the name of the Islamic singer Sami Yusuf, is pronounced [(SA)nd] + [(MEE)t] with emphasis on the first syllable, it is not one of the names of Allah. You can use it as a name and there are no issues with it.
Samee`, pronounced [(SU)m] + [(MEE)t] with emphasis on the second syllable, is one of the names of Allah. It means "The One Who Hears". This is one of those names of Allah that are not specific to Him, for this reason people can use this as a name as well.