It's pretty mild at this time of year, but it's a good idea to bring along a jumper or light jacket for the evenings. The average daily maximum is 18 C and the average daily minimum is 11 C.
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The Algarve is great destination in March, so long as that you accept that the resort towns will be very quiet, and the beaches are not warm enough for all-day sunbathing.
During March, you will see about 15 mostly sunny, 3 partly sunny, and 13 mostly cloudy days. Rain normally falls on 11-15 days this month, however, only 5-6 days record 1 mm (0.04 inches) or more with only 1-2 days seeing rainfalls of 10 mm (0.40 inches) or more.
March in Portugal: Weather, What to Pack, and What to See. Portugal has mild temperatures year-round, especially in comparison to the rest of most of Europe. While March is wetter and cooler than the summer, rain levels tend to decrease as spring emerges.
Rainfall. In Lisbon rainiest months of the year are December and November during which monthly rainfall average reaches 128 mm. On the other side, driest months are August and July when the average rainfall is reduced to 4 mm per month.