Update: Some offers mentioned below are no longer available. View the current offers here.Per the Flight Deal, there are some cheap flights available from Los Angeles, to Billund, Denmark, which happens to be home of Lego. With this deal, you can fly to Europe this summer, in addition to the spring and fall, for under $700 which is a pretty good deal!Here’s a look at some of the flights available:Los Angeles- Billund, Denmark on Lufthansa/UnitedLos Angeles- Billund, Denmark on British Airways/Sun-ar of ScandinaviaIf you wanted to just book a one-way to get to Europe for this summer you could, as we were able to find Los Angeles-Billund, Denmark for $315 for a one-way flight in August.Sign up for our daily newsletterEmail addressSign upI would like to subscribe to The Points Guy newsletters and special email promotions. The Points Guy will not share or sell your email. See privacy policy.You then could redeem British Airways avios, from the British Airways Visa Signature Card, which is now offering 4 Avios for every $1 spent on all purchases within your first year up to $30,000, to book short-haul flights around Europe, before either redeeming Avios or another mileage currency for the return flight back to the US.As a reminder, if you want to earn even more miles on your purchase, you can by using a card that maximizes airfare purchases, like 3x on airfare with the American Express Premier Rewards Gold or 2x on the Chase Sapphire Preferred. Check out this post for more on maximizing airfare purchases.Report your success if you can actually snag any of these!