"Draw"and "block" are basic types of domino games in English-speaking countries, but they rarely if ever seem to be played in Spain and Latin America, where dominoes is nearly always played in pairs, each of four players starts with seven dominoes and there is no "boneyard" (undistributed dominoes), which is the basis of these games.

The essential difference between draw and block is that in draw, when a player can't make a move he/she draws a domino from the "boneyard". In block, players don't draw from the "boneyard"; if they can't move, they pass. In both cases the game ends when either one player plays his/her last domino or when no one can play (everyone is blocked).
http://www.domino-games.com/domino-rules/draw-dominoes-rules...
www.domino-games.com/domino-rules/block-dominoes-rules.html

I've found draw referred to as "abierto" or "robando" and block as "cerrado" or "sin robar". "Robar" is used here in the sense it has in card games, of drawing or picking up a card from the pack.

"4.0 - Juegos que se practican con el dominó
4.1 - Entre dos jugadores
Mano a mano cerrado o sin robar: Cada jugador coge 7 fichas quedando 14 boca abajo. [...] Cada jugador pone ficha por turno hasta que uno de ellos domina o hasta que se cierre el juego por no poder ponerse ninguna de las fichas que poseen en su mano los jugadores [...]
Mano a mano abierto o robando: Juego similar al anterior. La diferencia estriba en que un jugador no pasa cuando no tiene ficha para jugar, sino que debe coger o robar una a una las fichas del montón que han quedado sin repartir hasta que encuentre una que pueda ser utilizada o hasta que se agoten las fichas para coger, en cuyo caso pasará y cederá el turno al otro jugador."
http://www.lcbsoft.com/infesp/domi_i04.htm

These same terms are found in some other places. They are the only equivalents I can find. Although they are found specifically in relation to games for two players, I think the terms "abierto" and "cerrado", probably adding "robando" and "sin robar" to clarify the meaning (as above), would be the best option here.

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Note added at 2 hrs (2012-11-09 02:32:57 GMT)
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By the way, I've just realised that "dominó de empate", which you occasionally see, is just a crude mistranslation of "draw dominoes" (the wrong meaning of draw!). It's found, for example, along with "dominó de bloque", in this page translated from English:
http://www.ehowenespanol.com/jugar-domino-puntos-como_147130...