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Buy securities at another stock exchange
In a simple statement, no doesn't matter. Checked on my trade portal, everything lines up. Same ISIN, same price(after factoring in FX conversions, if you were thinking about arbitrage those days are long gone).  But a unusual phenomenon I have observed is, if you aren't allowed to buy/sell a stock in one market and try to do that in a different market for the same stock you will still not be allowed to do it. Tried it on French stocks as my current provider doesn't allow me to deal in French stocks.