The lower portion is a cut and paste from another board where someone was asking about a WWII Unique pistol found on dead German soldier..... this response fits the best of all I have found he points out the Unique brand was cheap copy that improved over time I believe mine was a very early production.....The pistol that this response is referring to has the grip safety.
" Unique was a French firearms manufacturer located near the French border with Spain. Many of their pistols were similar to the simple, inexpensive guns made in the pre-Spanish-Civil-War Eibar region of Spain. This one is one of those. It might have been made any time from about 1920 to about 1940.
This gun is a simplified copy of John Browning's Model 1905 25 caliber automatic. Because German soldiers were hated in most of the countries they occupied, many of their rear-area troops had a 32 or 25 caliber automatic to carry when off duty, if they could get one.
The Uniques are better than the average Eibar automatic in workmanship and material, although the design is still very simple. For example, this gun has a grip safety, which many of the Eibar copies lacked, but it still uses the Eibar type safety/dismantling catch, which only blocks the trigger and does not lock up the firing mechanism. (The presence of the grip safety suggests it might by a 1930's gun rather than a 1920's one; Unique kept improving their guns as time went on.)
Since there is no prominent manufacturer name on it and no serial number and minimum safety features the logical conclusion for me is a very early knock off