If you're paralleling the inverters and they are grid tied to the house AC, then you can connect multiple inverters, subject to the usual DNO restrictions. Unless there's some quirk of the inverter, they just autonomously pump power into your house/grid. We've got 2 PV inverters and soon to have a battery inverter all running in parallel with no control between them.
Just watch out for voltage rise in the house if you're producing alot of power. The DNOs obligation is to limit the voltage at your service fuse to 253v. If you're trying to push alot of power into the grid through undersized cabling within the house, then you might find the house voltage rising significantly!!!