Slice the cherry tomatoes in half and place them in a large mixing bowl.
Add the minced garlic, dried oregano, salt, and black pepper to the bowl with the tomatoes. Drizzle with olive oil and red wine vinegar.
Gently toss everything together until the tomatoes are coated evenly and begin to release their juices, creating a fragrant marinade.
Let the mixture sit at room temperature for about 10 minutes, allowing the flavors to meld and the tomatoes to soften slightly.
Arrange the marinated tomatoes on a serving platter, spreading them out for visual appeal.
Gently tear the burrata into large pieces and place it among the tomatoes so it covers the surface attractively.
Drizzle a little more olive oil over the burrata and tomatoes for shine and richness.
Garnish with fresh basil leaves for aroma and color, then serve immediately or let sit for a few minutes to deepen flavors.