Trying to run syslog in a docker container and not getting any messages

I am trying to run syslog inside of docker and publishing udp/514 so that other devices on my network can send messages to it as well. I am running docker on a Raspberry Pi.
I have been through two different containers from with no success.

I am new to Docker, so this is probably growing pains and my lack of knowledge regarding Docker.

Would appreciate any pointers on getting syslog or syslog like service up and running.