LuaSQL
http://keplerproject.github.io/luasql/doc/us/

LuaSQL is a simple interface from Lua to a DBMS. It enables a Lua program to:

    * Connect to ODBC, ADO, Oracle, MySQL, SQLite, Firebird and PostgreSQL databases; 
    * Execute arbitrary SQL statements;
    * Retrieve results in a row-by-row cursor fashion.

LuaSQL is free software and uses the same license as Lua 5.1. 


Source code for LuaSQL can be downloaded from its GitHub repository.

conn:getnext() - resolve CALL statements to execute stored procedures.

While original project not includes this code do next

luarocks install luasql-mysql MYSQL_INCDIR=/path/to/inc/dir

Get from this git /src/ls_mysql.c

compile it:
gcc -I/usr/include/mysql/ -I/usr/include/lua5.1 ls_mysql.c -shared -o mysql.so -fPIC

save original mysql.so: 
cp /usr/local/lib/lua/5.1/luasql/mysql.so /usr/local/lib/lua/5.1/luasql/mysql.so.orig

copy compiled new .so to luasql folder:
cp mysql.so /usr/local/lib/lua/5.1/luasql/