As of my last knowledge update in September 2021, I don’t have access to real-time data, and the status of companies can change. However, I can give you some guidance on how to find the best web design companies in Patna or any other location:

1. Online Search: Use search engines like Google to search for “best web design companies in Patna” or “top web designers in Patna.” This should provide you with a list of companies that are currently prominent in the field.
2. Portfolio and Reviews: Once you have a list of potential companies, visit their websites to check their portfolios. Look for the quality of their previous work and whether their design style matches your preferences. Additionally, check for client testimonials and reviews on platforms like Google, Clutch, or Yelp to get an idea of their reputation.
3. Industry Recognition: Look for companies that have won awards or have been recognized by industry associations for their design work. This can be an indicator of their expertise and professionalism.
4. Experience and Expertise: Consider the experience of the company. A company that has been in business for several years is likely to have a better understanding of design trends and user preferences. Also, check if they have experience in your industry, as familiarity with your sector can be beneficial.
5. Communication and Collaboration: Reach out to the companies you’re interested in and evaluate how well they communicate with you. A good web design company should be attentive to your needs and ideas and be willing to collaborate effectively.
6. Services Offered: Ensure that the company offers the specific services you require. This could include responsive design, user experience (UX) design, e-commerce solutions, and more.
7. Cost and Budget: While cost shouldn’t be the sole determining factor, it’s still an important consideration. Get quotes from multiple companies and compare their services and pricing to find the best value for your budget.
8. Meetings and Consultations: Schedule meetings or consultations with the companies you’re considering. This will give you an opportunity to discuss your project in more detail and assess how well the company understands your vision.
9. Technology and Trends: In the field of web design, staying updated with the latest technologies and design trends is important. Ask the companies about the tools and technologies they use to create modern and responsive websites.
10. Local Presence: If supporting local businesses is important to you, consider choosing a web design company with a physical presence in Patna.

Remember that the “best” company can vary based on your specific needs and preferences. Take your time to research and evaluate your options to find the company that aligns with your project requirements and expectations. It’s also a good idea to verify the current information since the landscape can change after September 2021.