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The Blues will return to Tolka Park for their annual visit after previous visits to the Dublin club in 2013, 2014 and 2015.
Town have yet to lose to Shelbourne; a 2-0 win in 2013 was followed by a 4-0 win in 2014. Last year's meeting saw Town defeat their Irish hosts 6-0.
The Blues will then face Charlton Athletic, following the Addicks' relegation to League One this season. Town will visit the Valley on Tuesday 26th July (7.45pm kick-off).
The league meetings between the two sides saw Town run out 3-0 away in November, with the reverse fixture at Portman Road ending in a goalless draw.
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