I obtained the desired list by using the documentation method provided by Router trait. The documentation method returns Seq[(String, String, String)] .Here each tuple has the format:
( {http-method} , {url} , {controller method} )
The Router trait is extended by all the autogenerated Routes.scala classes. Scala-compiler generated a separate Routes.scala for each routes file in the application. These auto-generated Routes.scala files implement all the methods of Router trait including the documentation method that we discussed above.
So,to get list of all URLs, I simply had to inject the Router trait and then access the documentation method:
import play.api.routing.Router
class MyClass @Inject()(router: Router) {
def getAllURLs:Seq[String] = router.documentation.map(k => k._2)
}