Back in Toronto, it wasn't considered strange/ too forward for a guy to approach you and either: (a) just start talking to you SOBER and/or (b) offer to buy you a drink.
The same cannot be said about Scottish men, I'm afraid.
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I get a surprising amount of emails from women - mainly American and Canadian - about dating Scottish men: e.g. North American dude; what does it mean when a Scottish guy asks them out for a drink with all his friends and so on and so forth.
Please note, however, that I am approaching the dangerous and controversial territory of dating in Scotland, from a North American perspective, and you may run the risk of being misinterpreted as "too forth right".