Catching an exception within a map

What is the best way of handling exceptions while iterating over a loop in Scala?

For instance, if I had a convert() method that could throw an exception, I'd like to catch that exception, log it, and keep iterating. Is there a "scala" way to do this?

Ideally, I'd like something like...

val points: Seq[Point] = ...
val convertedPoints: Seq[ConvertedPoint] = points.map(
   p => {
     try { p.convert() } 
     catch { case ex: Exception => logger.error("Could not convert", ex) }
})

You can't do the above code since it's not a direct mapping from one list to the other (you get back Seq[Any] as opposed to Seq[ConvertedPoint]).