How to attract more corporate clients if you are a small software development company but have a proven track record?

Great question! This is a similar issue all enterprise-focused companies face, which I've experienced many times.

I'd recommend creating content that leverages your experience:
1. Create detailed case studies about each of your large projects, featuring the customers branding clearly. Seek permission before doing this,
2. Create white papers for each of your key learnings from the project. For example, I'd love to know how Russian law impacted your project - "Developing software that complies with Russian data protection law in 2019'
3. Create short blogs which summarise the white paper, ideally with a video. Offer the whitepaper as a download in exchange for an email.
4. Promote the blog posts on LinkedIn with paid advertising, aimed at your ideal customers.

Happy to jump on a call and discuss how I've successfully used to approach to win customers.

Hi,
Below are my suggested methods. There are many more but I don't want this answer to be too long.
1. Ask your existing client/s for referrals. If they were happy with the work that you did, they should be happy to do so. If you feel the need, offer them a 10%/$X discount on the next project for every client they refer. This is 'win-win-win' situation because you get more clients, they get a discount, and they use your services again.
2. Ask your existing clients for a written recommendation which you can publish on your website + permission to use their logo on your website.
3. Publish as much content as possible on your website - about the projects you've done, potential projects, your fields of expertise (obviously you need to have a professional and trustworthy looking website). each article/post should be about 1.5 pages (Microsoft Word). Make sure the content is focused to your customers (so probably not too technical).
4. create a free 'get a quote tool' - many customers check online to get an estimate of how much the project will cost. If you have an automatic online tool, this can attract a lot of customers. I have personally used such a tool and I was very impressed with the company's website and free tool.
5. Partner with organizations/companies that work with your target clients - for example: I work with lots of entrepreneurs and many of them ask me for referrals to various types of service providers, including programming companies. These companies give me a small percentage of the profits they make from my referrals (of course I only refer to companies which I know and trust as my reputation is worth more than the referral fee).
I've successfully helped over 300 entrepreneurs and will be happy to help you.
Good luck

That's great news about your success so far. I've done enterprise business development for enterprise technology, workflow reengineering, and strategy projects. I've also been on the buying side (part of a $110 million IT budget for a name brand Wall Street firm.)

Given that you have 8 people, I will assume you have to be very focused with your business development time and money. My quick reaction (unencumbered with too much information) is that you should focus on getting warm introductions, direct conversations, and face-to-face meetings. This will take some strategic networking. Sources of network include your team's own relationships, referrals from your happy clients, and any meetings of similar client companies. One piece of marketing collateral worth producing is a one-page case study, highlighting your project, preferably using your client's name. (If you can't get permission, just describe them in general terms.) You can use the piece to focus your story and share with prospects.

That's all I can think of without more context. Set up a call, and I can help you think through business development strategies from the sell side and the buy side.

It is amazing to read how much your company has achieved. To attract the corporate clients as you have talked about, you must sharpen your marketing skills.
The way enterprise technology and software companies need to approach marketing themselves is evolving and it is imperative to leverage tactics that will produce real results. To maximize their investment in marketing initiatives, organizations should look for strategies and tools that have the most potential to engage decision makers by proving that they understand what challenges their target industry faces, that they are a thought leader and have a unique solution that can provide substantial ROI.
Webinars are particularly useful, because by requiring people to exchange their contact information to register, you will be able to build your contact database and engage in marketing or sales activities with those contacts in the future. There are few things more powerful from a technology marketing standpoint than your target buyer saying to themselves, “That solution worked for another company just like ours, so maybe it will work for us to?” That is the point behind client testimonial videos.
You can read more here: https://www.insivia.com/7-key-marketing-strategies-technology-software-companies/
Besides if you do have any questions give me a call: https://clarity.fm/joy-brotonath