How to connect to docker mysql container on remote machine

I have two machines. My machine with IP1(Europe), and other machine with public IP2(USA). On IP2 I have mysql container running with volume /var/lib/mysql set to be replicated in some folder on the host machine ~/mysqldatabase. Firewall rule for port 3306 is added. Also I have ssh connection to the machine. So I'm not sure where to start. Usually when there is not docker I add just

bind-address = 0.0.0.0

as configuration in mysql and I open the firewall port 3306 (or an other one that points to mysql) and the things work. So probably I can install mysql-server package (the host is ubuntu16.04) outside of docker on the IP2 machine and to set it to point to the ~/mysqldatabase folder, but is it really necessary to do that? Is there way to connect directly from IP1 to IP2:mysql_container:mysql_database

I run the mysql docker container in two ways. One is with docker file. And the other one is with systemctl service.

Part of the docker-compose.yml:

version: "3"
services:
  mysql:
    image: mysql:5.7
    volumes:
      - /home/username/mysqldatabase:/var/lib/mysql
    ports:
      - '3306:3306'
    environment:
        MYSQL_ROOT_PASSWORD: rootpass
        MYSQL_DATABASE: somedb
        MYSQL_USER: someuser
        MYSQL_PASSWORD: someuserpassword

mysql.service

[Unit]
Description=Run %p
Requires=docker.service
After=docker.service

[Service]
Restart=always
ExecStartPre=-/usr/bin/docker kill %p
ExecStartPre=-/usr/bin/docker rm -f %p
docker run --rm --name mysql -v /home/username/mysqldatabase:/var/lib/mysql -p 3306:3306 \
-e MYSQL_ROOT_PASSWORD=rootpass -e MYSQL_DATABASE=somedb -e MYSQL_USER=someuser -e MYSQL_PASSWORD=someuserpassword \
mysql:5.7
ExecStop=/usr/bin/docker stop %p

[Install]
WantedBy=multi-user.target

To make the things more simple lets say that I use only the second approach.

I DON"T have :

• 1.mysql-client, mysql-server or mysql on the IP2 machine
• 2.and I haven't set anywhere to bind to 0.0.0.0 because I want to connnect directly to the mysql container. Probably I have to set it to bind to 0.0.0.0 inside this container.

Result for the firewall

sudo netstat -tunlp | grep 3306
tcp6       0      0 :::3306                 :::*                    LISTEN      24717/docker-proxy

for those who have not yet managed to connect even after all these tips. Consider using another port

Example:

ports:
      - '3308: 3306'

I solved my problem this way.