FedEx delivers on Sundays to residential addresses from 9:00 AM to 8:00 PM.
If your package is on the FedEx delivery truck out for delivery on that Sunday then you will get the FedEx package delivered to your door by no later than 8:00 PM.
If you have not gotten your FedEx package by 8:00 PM then it will be delivered the next day.
Unlike the USPS that does not delivery packages or mail on Sunday FedEx does deliver packages on Sunday.
FedEx according to their website says they deliver 7 days per week.
So any day of the week your package will be delivered once the package says out for delivery.
Some packages require a signature and some do not.
If you need to sign for the package and are not there then the FedEx driver will leave a door tag on your door that you can sign and they will then leave the package.
However most packages as of now through FedEx are not requiring a signature but that will likely soon change.
Most times on Sunday here packages through FedEx get delivered to my door by 2:00 PM to 4:00 PM
It all depends on how many deliveries the FedEx driver has on it's route before they get to your house.