FBI-FTU SAIC John Hall realized the 180gr 10mm bullet shared the same sectional density as .45 ACP 230gr and brought in his personally owned Colt Delta Elite 10mm 1911 pistol, and handloaded reduced velocity 10mm loads to see how it performed in the FBI's new test protocol. This is how the FBI ended up with its reduced velocity load.
THE FBI NEVER ISSUED A FULL POWER 10MM LOAD TO AGENTS. The reduced velocity load was developed BEFORE it chose a 10mm pistol.
The reduced velocity load was chosen by the FBI in the late 1980s.
The S&W 1076 10mm pistol was first issued to FBI agents in 1990.
There were problems with the S&W 1076 pistol that the FBI selected. The problems were the result of the FBI wanting the 1076 to have a frame-mounted de-cocking lever (like SIG pistols had back then) instead of S&W's slide-mounted hammer-drop safety. When the technical issues were finally resolved by S&W the FBI had already decided to switch to the identically performing 40 S&W. The FBI later sold its 1076 pistols and you can find them for sale.
It took ammo manufacturers several years to develop JHP bullets that reliably expand. One of the problems with the FBI's ammo test was it gave more points to bullets that worked well against hard barrier materials (windshield glass, sheetmetal and wood) than for bullets that provided reliable expansion performance against soft barrier materials (clothing). As a result, bullets that performed well in the FBI tests didn't expand very well in many shootings. Because of this unintended consequence, the IWBA developed its 4-layer heavy denim cloth test to force bullet manufacturers to design bullets that resist plugging with cloth and expand reliably after passing through clothing. The FBI, being the FBI, decided to revise its heavy clothing test instead of adopting the IWBA's superior 4-layer denim cloth test. The ultimate result is that there's very little practical difference in wounding effects among the common combat handgun cartridges, which is why many agencies, including the FBI, currently use 9mm.
Link to an article from John Hall, FBI-FTU SAIC "The FBI's 10mm Pistol" -
122334NCJRS.pdf (ojp.gov)