At Sunshine, you'll find "brunchish" items every day on the lunch menu, but it would be hard to pass up the olive oil-based pizza with hen egg, parmesan, and wild oregano. But, you can also add an egg to any pie for two bucks. [Photo]

You'll have to wait for a late brunch at 4p.m. — or a very early brunch after the bars close — for this morning pizza (Hammy's is open until 4a.m.). The Breakfast Pie comes stacked with roasted potatoes, herbed scrambled eggs, and bacon on a creamy garlic base, finished with a Tapatio drizzle. [Photo]

At Oven & Shaker, it isn't just a boring old hen's egg available to add to any of the pizzas (not that we don't love 'em); pies are topped with a rich yolky duck egg for $4. Eater suggests the pork belly, Brussels sprout, garlic, lemon, and robiola with the extra a.m. addition as the ideal brunch pie: The restaurant opens daily at 11:30a.m. [Photo]

Brunch on Sundays at Lucca offers traditional options like eggs Benedict and French toast, but a pancetta and egg pizza with caramelized onions and four cheeses would be our pick for a weekend hangover cure. Diners can also add an egg to any pie for only a buck and a half. [Photo]

Open everyday at 11a.m. — serving a full brunch menu with pies topped with scrambled eggs and morning meats — breakfast pizza is easy here. Our favorite: the "Brunchwulf" with bacon, eggs, and hashbrowns, paired with a "Sizzle Mary," the most pizza-ish bloody in Portland. [Photo]

With many area locations open at 11a.m., for brunch you might order the Patate e Prosciutto with roasted rosemary potatoes, Italian ham, mushrooms, and smoked mozzarella. You could always add your own eggs at home? [Photo]

Like at Oven & Shaker, Cathy Whims will top any pizza with an egg (here, they're regular old farm eggs available for an extra $2). Eater endorses the Calabrese salami and tomato pie, normally sweet-and-spicy with its Mama Lil’s peppers and drizzle of honey. [Photo]