Elfyn Llwyd MP, who led a parliamentary inquiry on stalking, accused prosecutors of "undercharging" and called for a change in culture in the CPS and police, claiming stalking is too often treated as a domestic issue.
The Plaid Cymru Westminster leader said charging lesser offences often ends with a "slap on the wrist" and do provide justice for victims.
"We need to so make sure prosecutors take this very serious offence as they should because it is a considerable area of concern." Llywd said.
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David Lidington warned that Brussels institutions could be putting their own citizens at greater risk of attack.