Here's a brief list to get you started:

Monday

1.       Algoz: Second Monday of the month. 8am – 1pm
2.       Aljezur: Third Monday of every month 8am – 2pm
3.       Portimão: First Monday of each month 8am – 2pm
4.       São B. de Messines: Fourth Monday of every month
5.       Silves: Third Monday of the month 8am – 1pm
6.       Vila do Bispo: Every Monday from 9am – 1pm

Tuesday

1.       Albufeira: First and Third Tuesday of the month 9am – 2pm
2.       Alvor: Second Tuesday of the month 9am – 2pm

Wednesday           

1.       Quarteira: Gypsy market every Wednesday 8am – 3pm
2.       Quarteira: Every Wednesday Farmers market 9am – 1pm
3.       Raposeira: First Wednesday of the month 9am – 2pm
4.       Vila do Bispo: Every Wednesday Farmers market 9am – 1pm

Thursday           

1.       Alte: Third Thursday of the month 8am – 2pm
2.       Boliqueime: Last Thursday of the month 8am – 2pm
3.       Boliqueime: First Thursday of the month 8am – 2pm
4.       Vaqueiros: Every Second Thursday of the month 9am – 2pm
5.       Vila do Bispo: First Thursday of the month 8am – 1pm

Friday           

1.       Alcantarilha: First Friday of the Month 9am – 2pm
2.       Guia: Third Friday of the month 9am – 2pm
3.       Monchique: Second Friday of the month 8am – 2pm
4.       Sagres: First Friday of the month 9am – 2pm
5.       Vila do Bispo: First Friday of the month 9am – 2pm

Saturday           

1.       Alvor     First Saturday of the month 8am – 6pm
2.       Azinhal      Last Saturday of the month 8am – 2pm
3.       Benafim     First Saturday of the month 9am – 2pm
4.       Castro Marim     Second Saturday of the month
5.       Lagos     Weekly Farmers Market 8am – 2pm
6.       Lagos     General market first Saturday of the month
7.       Loulé      Gypsy market and farmers market every Saturday of the month
8.       Monte Gordo     Fourth Saturday of the month from 10am
9.       Paderne     First Saturday of the month 9am – 1pm
10.       São Bras de Alportel     General market every Saturday of the month 8am – 1pm
11.       São Marcos da Serra     First Saturday of the month 9am – 2pm
12.       Tavira     Third Saturday of the month 9am – 1pm
13.       Tunes     Fourth Saturday of the month 8am – 1pm
14.       Vila Real d. S. António     Second Saturday of the month from 10am
15.       Vila do Bispo     Farmers market 9am – 1pm

Sunday           

1.       Almancil      Second Sunday 8am – 1pm
2.       Almancil     General market first and fourth Sunday of the month from 10am
3.       Almancil      Flea market first and third Sunday of the month 7.30am – 2pm
4.       Azinhal     First Sunday of the month 8am – 1pm
5.       Cabeça Gorda     First Sunday of the month 9am – 2pm
6.       Barão de São João     Large Flea market every fourth Sunday of the month
7.       Espiche     Every third Sunday of the month
8.       Estoi     Large market every second Sunday of the month 8am – 3pm
9.       Faro     Second Sunday of the month 8am – 4pm
10.       Ferragudo     Second Sunday of the month 8am – 1pm
11.       Lagoa     Second Sunday 8am – 1pm
12.       Lagos     First Sunday of the month
13.       Moncarapacho     Large market first Sunday of the month 8am – 1pm
14.       Portimão       First and third Sunday of each month
15.       Pereiro     Fourth Sunday of the month 9am – 2pm
16.       Tavira - Santa Catarina     Flea market every fourth Sunday of the month 8am – 1pm
17.       Vila Real d. S. António     Every third Sunday of the month 8am – 1pm