BlockingCollection<myEventArgs> myTasks = new BlockingCollection<myEventArgs>();

    private void myEventHandler(object sender, myEventArgs e)
    {
        myTasks.Add(e);
    }

    private void doWork()
    {

        while (myTasks.IsCompleted == false)
        {

        //Do some work here with the third party API.
        var eArgs = myTasks.Take();

        //Sometimes I have a background (thread safe) task to perform.
        //This is submitted to the thread pool.
        Task.Run(() => doSomeBackgroundWork());

        }
    }