Those pre-corned plastic containers of corned beef might be calling your name at the grocery store, but nothing compares to making your own homemade pastrami. Brining a brisket and smoking it low and slow creates the smoky, peppery pastrami that makes a great deli sandwich. If you can smoke a brisket, you can easily make pastrami from scratch. It just takes a little more time. Here’s how to make homemade pastrami at home.