Initializing Singletons

I'm curious - is it possible (and if so, how) to initialize a
Singleton class when the class used for initialization must also get
an instance of the Singleton class?

Here's a pseudocode example to make that more clear...

class SingletonClass {

  private SingletonClass() {
       ConfigFileReader reader = new ConfigFileReader();
       reader.read();
  }

  // other singleton stuff
}

class ConfigFileReader {

  public ConfigFileReader() {
    // do stuff
  }

  public void read() {
    // read in the config file and get the appropriate information
    SingletonClass.getInstance().setValues(...);
  }
}


I don't *think* what I want to do is possible.  But, if it is, I'm not
sure how to do it.  Any insight would be appreciated.


Thanks