I worked for a large outdoor product manufacturer that sold into stores such as Target, REI, Dick's Sporting Goods, Cabela's, etc.
As you can imagine, if you are not one of their regular suppliers, getting even 5 minutes of the buyer's time will be no small feat. Depending on what market your product is in, I would work to identify who the correct buyer is at that company for your type of product and try to find out the best way to reach them; e-mail, phone, etc. Have your elevator pitch ready should you happen to get them on the phone and hit them with only the pertinent information about your company and the product.
If you can identify any industry trade shows they may be attending and either set-up an appointment at the show or outside of it, this is a good way to get some face time.
I have some other ideas that I'd be happy to discuss with you on a call if you'd like. Be persistent. Be polite. Don't get discouraged if they don't get back to you right away.
it depends on the type of product you're selling but buyers and retailers are being hounded with sellers. So how do you stand out? Market your product so the buyers can't ignore you and let them make the approach. I did this with a retailer that had 240+ stores, they came to me because they noticed our marketing and then the buyer ordered product from our website. They then sent an email asking for more information and that was how we landed a big account. Happy to discuss further if you'd like to set up a call.
Your question doesn't give full clarity of Product or any challenges you have about going to big companies.
If you have the budget, things could be much easier as you will have an agency to help in this. In the case of cost constraints, you will need to find innovative ways to reach companies which could be existing connect, cross-selling, usage of the forum, thought leadership ..many ways.
Feel free to reach out if you have any questions.