FEG markets a whole bunch of pistols as "High Powers" including pistols that don't have any more relation to a P35 than the cam/barrel lockup style. They also market three different models that have some external and internal similarities to the Hi-Power. Those models (from oldest to newest) are: FP9, PJK-9HP, P9M.
The FP9 has a tall ventilated rib along the slide. The sights aren't dovetailed and it appears to have a disconnect. I've only seen these on the Internet.
The PJK-9HP seems to be closest to a real Hi-Power. It has the small safety, small sights, and lack of firing pin safety typical of commercial production Hi-Powers prior to 1980. It also has the roundel hammer that seems most likely to bite and the humped feed ramp of the older Hi-Powers. Some have reported that later PJK-9HPs have a modified slide release that is similar to a 1911. It does have the magazine disconnector and the front sight is usually staked. I've seen some rear dovetails for sights on these but I don't know if they come stock like that.
The P9M looks externally like a Browning MkII or MkIII but has a different internal lockup system. This is another one I've only seen on the Internet but at least one person has reported on
www.fnhipower.com that this had the magazine disconnect. No clue on sights.
All of these should use Browning factory magazines just fine. You may have some trouble with aftermarket magazines since the tolerances on the FEGs are a bit loose and aftermarket mags usually are a bit loose on tolerance too. I've only seen one person reporting trouble with Hi-Power magazines in an FEG - they had purchased some KRD mags that worked fine in their Hi-Power but wouldn't fit into the magwell of their FEG. Factory Browning mags worked fine in the same FEG but were tight.