So I discovered pcregrep which stands for Perl Compatible Regular Expressions GREP.
For example, you need to find files where the '_name' variable is immediatelly followed by the '_description' variable:
find . -iname '*.py' | xargs pcregrep -M '_name.*\n.*_description'
Tip: you need to include the line break character in your pattern. Depending on your platform, it could be '\n', \r', '\r\n', ...