If you give something to someone with your compliments, you give it to that person free.

We enclose a copy of our latest brochure, with our compliments. 我们免费附赠一本最新的小册子。

Please send the minister a copy of my book with my compliments.

For guests of our hotel, evening cocktails are offered with our compliments.

We will send you a selection of our choicest coffees to try with our compliments.

Please accept this necklace with my compliments.

See also: compliment noun