Simple past tense and past participle of overnight.(verb)
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Use "overnighted" in a sentence
"Any contracts or other documents that you need can be faxed or overnighted to you at our hotel."
"I don't have a passport yet but will get one overnighted and hopefully will have it by end of next week."
"One summer many years ago, when I was traveling with my husband and two small sons through Scandinavia, we overnighted in a campground outside Stockholm."