In Node, how to execute sql from global database connection

There's a couple of problems here. First off, you should only ever import a module once per file. This is just a performance consideration and won't actually break your code.

Next, pay attention to what you're exporting from your DatabaseManager module. Right now, you're exporting a function that creates the connection and then doesn't do anything with it. We can fix this by using a pattern called a "callback" which lets us provide a function that will then be called with the connection as an argument.

I added a ton of comments to the code explaining things. This code won't run as-is - there's a couple places where I have "do this or this". You'll have to choose one.

var Tedious = require('tedious'); // Only require a library once per file
var Connection = Tedious.Connection;
var Request = Tedious.Request;

// Or using the object spread operator
var { Connection, Request } = require('tedious');

// You called this `sqlConnection`. I'm going to use a verb since it's a
// function and not a variable containing the connection. I'm also going
// to change the declaration syntax to be clearer.

function connect(cb) { // cb is short for callback. It should be a function.
  var config = {
    userName: 'uname',
    password: 'password',
    server: 'dbserver.database.windows.net',
    options: {
      database: 'mydatabase',
      encrypt: true
    }
  }; // Put a semi-colon on your variable assignments

  var connection = new Connection(config);

  // Attempt to connect and execute queries if connection goes through
  connection.on('connect', function(err) {
    if (err) {
      console.log(err);
      return; // Stop executing the function if it failed
    }

    // We don't need an "else" because of the return statement above
    console.log('CONNECTED TO DATABASE');

    // We have a connection, now let's do something with it. Call the
    // callback and pass it the connection.
    cb(connection);
  });
}

module.exports = connect; // This exports a function that creates the connection

Then back in your main file, you can use it like so.

var restify = require('restify');
var builder = require('botbuilder');
var botbuilder_azure = require('botbuilder-azure');
var azure = require('azure-storage');
var connect = require('./DatabaseManager'); // renamed to be a verb since it's a function.

bot.dialog('profileDialog', (session) => { // Hey, this is a callback too!
  session.send('You reached the profile intent. You said \'%s\'.', session.message.text);

  console.log('Creating a connection');

  connect((connection) => {
  // or with the traditional function notation
  connect(function(connection) {

    console.log('Reading rows from the Table...');

    // Execute your queries here using your connection. This code is
    // taken from 
    // https://github.com/tediousjs/tedious/blob/master/examples/minimal.js
    request = new Request("select FNAME from StudentProfile where ID=1", function(err, rowCount) { // Look another callback!
    if (err) {
      console.log(err);
    } else {
      console.log(rowCount + ' rows');
    }
    connection.close();
  });

  request.on('row', function(columns) {  // Iterate through the rows using a callback
    columns.forEach(function(column) {
      if (column.value === null) {
        console.log('NULL');
      } else {
        console.log(column.value);
      }
    });
  });

  connection.execSql(request);
});