I also gave a small Christmas present the other day.
Literal
I [also-も] the-other-day Christmas-present [as-に] a-little-something [object-を] gave.
ちょっとしたもの 'a little something, a modest thing' is a common humble understatement when describing one's own gift. あげました (polite past of あげる 'to give') is used when the giver is the speaker. 先日 is a slightly formal word for 'the other day.'