In general, the design world is trending towards digital. Having a print design background can be useful, but if you aren't growing in the digital design arena, this is likely a focus area for you. This is another area where researching the agency/company is really important. If you research their work, you will gain an understanding about their deliverables, be it print or digital.

Your goal in this situation is to share your expertise in one or both areas. You should be prepared to show examples in your portfolio that showcase your abilities. If you have the expertise, but it isn't in your portfolio due to editorial reasons, off to send them examples after the interview.

I have a solid background in both print and digital design. I started my career doing basic print work - newsletters, brochures, marketing slicks, etc. But, I grew my skillset to do digital work as well given the trend in that direction. At this point, I'm very comfortable working in both arenas.

I see myself as primarily a print designer. I've done a lot of branding work designed for print - newsletters, brochures, marketing slicks, etc. That said, I've been working to grow my skillset in the digital arena. I've done a lot of self-study on digital design and I'm picking it up very quickly. But, I wouldn't call myself a digital designer at this point.