I have attached an ispirational picture i found on google to explain better. You would have three materials: concrete, a tile that matches the concrete, and a tile that appeals to you. In the pic the wood would be your concrete and you can see how they transition to tile and yet it is a cohesive design. The banding is shown in the tiled area, but it could be used on either side....I hope that explains what I was thinking

A photo of your situation would certainly be more helpful, but please reference @gardengal's comment, "The majority of the feel of an outdoor living room will come from how it is furnished and decorated." That in a nutshell says it all. The photo you provided is Spartan and underdone and not in a minimalist kind of way. It's simply not a complete design thought. The photo above in @gardengal's post is a complete design thought. So are the photos below. This one is a Ramada as an extension of the home with no fireplace. The one below is a detached pavilion with a fireplace. This one has an extended roofline over a small sitting area but most of the living space is in the open. Again, it's about completing the design thought. The photo you posted is simply an undernourished space. Find photos that you do like and work toward completing the space to create a mood and environment that personalizes it for you. When I have dialogue with potential clients that are unsure about what they want me to do I always ask them to write down the three most important things, which gives me a better framework to start with. I make sure, above all else, that I meet those three priorities. Ask yourself the same question and it will provide you a better starting point and a higher likelihood that you and the designer or contractor will be successful.

Post some pics and also where are you . Where I live porcelain tile will not survive our winters.

have you considered epoxy floor finishing? wouldn't hurt to ask a contractor in your area for a quote. It's fast and doesn't require a lot of drying time before you can set up the room. attractive garage floors and the options are limitless.