。
She came in with sparkling eyes.
Literal
She [topic-は] eyes [object-を] sparkling entered came.
目を輝かせて入って来た — 輝かせる ('to make sparkle') is the causative of 輝く ('to shine'); the te-form sets the manner for 入って来た ('entered and came'). The てくる marks motion toward the speaker, painting an animated arrival.