What does ‘design around my company’ mean in graphic design terms?

Let’s say someone sends you a message and all they say is they have a small company and they ask you to “design around my company, and if your style fits we will talk.” They already have a logo and photography based on their company on their Instagram page. 

What does it mean if they ask you to design around their company? Does that mean to create some designs with their logo to give examples of what you can make to show off their brand? Such as business cards, banners, merchandise? Or something else? 



I am a graphic designer and someone asked me to design around their company for an opportunity for a job. I’ve never heard this term before and I want to make sure I am doing the right thing. 

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