PREHEAT oven to 425°F. COMBINE goat cheese, 1 tbsp. parsley, chives, dill, garlic and lemon zest until smooth and spreadable.
PLACE pastry on lightly floured surface. ROLL into 9-inch square. CUT into 4 even portions. SCORE 1/2-inch border on all sides of pastry squares with sharp knife. PRICK pastry all over inside score lines with fork. PLACE on large parchment paper-lined baking sheet. TRANSFER to freezer for 5 minutes.
BEAT 1 egg with 1 tbsp. water; set aside. SPREAD goat cheese mixture evenly inside score lines of each pastry square. BRUSH border of each pastry with egg wash.
BAKE for 12 to 15 minutes or until pastry is lightly golden. REMOVE baking sheet from oven. CRACK egg into center of each pastry. TOP evenly with tomato slices. RETURN to oven; bake for 8 to 10 minutes or until whites are set and eggs are cooked to desired doneness. SEASON with salt and pepper. GARNISH with remaining parsley.
Temperature Management
Working with laminated dough requires thermal control, which is why chilling the scored pastry squares for five minutes prior to baking prevents the butter from melting out prematurely. High oven heat set at 425 degrees Fahrenheit generates rapid steam production, forcing the layers apart to achieve maximum flaky expansion. Baking proceeds in two distinct stages to accommodate disparate cooking rates between the pastry base and the eggs.
Accompaniments and Pairings
Balancing the rich dairy fat requires acidic contrast, making a bitter green salad dressed simply in lemon juice an ideal pairing. Peppery arugula tossed with thinly sliced radishes cuts through the concentrated goat cheese and butter without overwhelming the delicate dill and chives. Alternatively, roasted asparagus drizzled with olive oil provides an earthy counterpoint that complements the roasted cherry tomatoes on top.
Ingredient Adjustments
Swapping the goat cheese for whole milk ricotta alters the moisture content significantly, requiring a thorough draining in cheesecloth beforehand to prevent soggy crusts. Frozen puff pastry sheets demand complete thawing in the refrigerator overnight; rolling partially frozen dough shatters the internal butter sheets and destroys the rise.