Alesci's is a favorite among my office co-workers, and judging from the lunch line on some days, it's a favorite among a lot of Solon workers.
This is a small-ish Italian grocery, with a deli counter, and best of all, at the back of the store, a prepared foods counter. Pizza, calzone, wedding soup, and the best Italian subs this side of I-422. The prepared foods are all reasonably priced, as are most of the rest of the goods in the store. Great place to purchase a missing Italian ingredient for a recipe, or just to get some good cappacole and mozzarella and a bottle of wine.
Try the Sicilian sub with dressing - for a mere $4.75. The wedding soup is superb and my office lives on the pizza.
If you're in Solon and you're tired of the big food chains for lunch, check out Alesci's. You won't be disappointed!