If you need to have a welcome message and an away message working together, you need to create a nice template that can be presented together to your users.
Example of Welcome message and Away Message
Welcome message
Thanks for communicating with OUR COMPANY. Please let us know how we can help.
Away message
Thanks for your message. At the moment we are not available, but we will answer you as soon as we return.
This is a typical error while creating your messages. If you have a new lead but you are away, the user will see both messages. First the welcome message, and then the away message.
How we can do nice messages that can be together and still make sense.