1660s, elliptical for venire facias (mid-15c.), Latin, literally "that you cause to come," formerly the first words in a writ to a sheriff to summon a jury. See venue.
Examples from the Web for venire
We now had two men engaged (with a possible third) and one woman, and my venire was exhausted.The Fat of the Land|John Williams Streeter
Finally it came time for the trial; the venire for the jury was issued.The Memoirs of an American Citizen|Robert Herrick
Nel venire per Bocognano si seppe, che un capitano riformato Genovese cercava compagni per assassinarmi.
A hundred householders were netted in that venire, and of the number I daresay Chester Pilkins was the hundredth.Local Color|Irvin S. Cobb