Stewart (23), of Symington Drive, Falkirk admitted attending the house of his ex-girlfriend on February 5, 2019, shouting abusive remarks.
He also admitted sending threatening text messages to her from his home address over a six hour period.
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Describing the offence as “a very serious matter,” Sheriff Mundy deferred sentence for six months until August 29 for Stewart to be on good behaviour.
He said: “This is your first offence and I hope it is your last time in court facing a criminal charge.”
Sheriff Mundy also ordered Stewart not to contact his former partner.