Sarem sits next to 4 phonetic neighbors — Sarah, Salem, and Saren are the closest matches by sound. Most share Sarem's Persian-origin cluster, so the rhythm and vowel shape carry across the list.
You searched for names like
"a flower, one who is pleasant and beautiful"
"noble, of noble kind"
"joyful, happy"
"beloved, of the sea"
"God is gracious"
"the quality of being morally good, righteous, or kind"
"beautiful princess"
"black meadow clearing"
"hazel tree + lake/pool"
"Night; dark beauty (elaboration of Layla)"
"noble meadow"
"modern coinage, melodic invention"
"blessing, miracle"
"sacred offering, one who offers into the fire"
"divine presence, dwelling of God"
"Bright one of the meadow; combination of Lena (light, bright) and L..."
Similar sound: These names share phonetic patterns with Sarem — similar vowel sounds, consonant clusters, or rhythm.
Shared roots: Several names on this list have Armenian/Persian origins, giving them the same cultural heritage as Sarem.
Rhythm: Sarem is a 2-syllable name. Names with the same syllable count tend to feel interchangeable when you're narrowing your list.